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Finding the Fourth Proportional to 1,065,114,640.80, 1,597,671,961.20 and 491,805,712.80

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Solution

The fourth proportional to 1,065,114,640.80, 1,597,671,961.20 and 491,805,712.80 is: 737,708,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,114,640.80 : 1,597,671,961.20 = 491,805,712.80 : x
  2. Step 2: Convert to fraction form
    1,065,114,640.80/1,597,671,961.20 = 491,805,712.80/x
  3. Step 3: Cross multiply
    1,065,114,640.80x = 1,597,671,961.20 × 491,805,712.80
  4. Step 4: Simplify right side
    1,065,114,640.80x = 785,744,197,698,540,032
  5. Step 5: Solve for x
    x = 785,744,197,698,540,032/1,065,114,640.80
  6. Step 6: Final answer
    x = 737,708,569.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.