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Finding the Fourth Proportional to 556,046,493.80, 834,069,740.70 and 513,048,324.20

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Solution

The fourth proportional to 556,046,493.80, 834,069,740.70 and 513,048,324.20 is: 769,572,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,046,493.80 : 834,069,740.70 = 513,048,324.20 : x
  2. Step 2: Convert to fraction form
    556,046,493.80/834,069,740.70 = 513,048,324.20/x
  3. Step 3: Cross multiply
    556,046,493.80x = 834,069,740.70 × 513,048,324.20
  4. Step 4: Simplify right side
    556,046,493.80x = 427,918,082,732,063,552
  5. Step 5: Solve for x
    x = 427,918,082,732,063,552/556,046,493.80
  6. Step 6: Final answer
    x = 769,572,486.30

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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.