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Finding the Fourth Proportional to 516,356,428.80, 724,712,985.60 and 516,356,428.80

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Solution

The fourth proportional to 516,356,428.80, 724,712,985.60 and 516,356,428.80 is: 724,712,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,356,428.80 : 724,712,985.60 = 516,356,428.80 : x
  2. Step 2: Convert to fraction form
    516,356,428.80/724,712,985.60 = 516,356,428.80/x
  3. Step 3: Cross multiply
    516,356,428.80x = 724,712,985.60 × 516,356,428.80
  4. Step 4: Simplify right side
    516,356,428.80x = 374,210,209,149,401,856
  5. Step 5: Solve for x
    x = 374,210,209,149,401,856/516,356,428.80
  6. Step 6: Final answer
    x = 724,712,985.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.