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Finding the Fourth Proportional to 527,602,224,602.80, 787,850,455,323 and 430,875,639,811.20

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Solution

The fourth proportional to 527,602,224,602.80, 787,850,455,323 and 430,875,639,811.20 is: 643,411,936,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,602,224,602.80 : 787,850,455,323 = 430,875,639,811.20 : x
  2. Step 2: Convert to fraction form
    527,602,224,602.80/787,850,455,323 = 430,875,639,811.20/x
  3. Step 3: Cross multiply
    527,602,224,602.80x = 787,850,455,323 × 430,875,639,811.20
  4. Step 4: Simplify right side
    527,602,224,602.80x = 339,465,569,012,842,896,556,032
  5. Step 5: Solve for x
    x = 339,465,569,012,842,896,556,032/527,602,224,602.80
  6. Step 6: Final answer
    x = 643,411,936,461.05

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Half scale
Find fourth proportional to 1,055,204,449,205.60, 1,575,700,910,646 and 861,751,279,622.40
Double scale
Find fourth proportional to 527,602,224,603.80, 787,850,455,324.49 and 430,875,639,812.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.