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Finding the Fourth Proportional to 704,878,564.47, 971,501,127.26 and 516,306,233.67

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Solution

The fourth proportional to 704,878,564.47, 971,501,127.26 and 516,306,233.67 is: 711,600,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,878,564.47 : 971,501,127.26 = 516,306,233.67 : x
  2. Step 2: Convert to fraction form
    704,878,564.47/971,501,127.26 = 516,306,233.67/x
  3. Step 3: Cross multiply
    704,878,564.47x = 971,501,127.26 × 516,306,233.67
  4. Step 4: Simplify right side
    704,878,564.47x = 501,592,088,019,188,480
  5. Step 5: Solve for x
    x = 501,592,088,019,188,480/704,878,564.47
  6. Step 6: Final answer
    x = 711,600,711.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.