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Finding the Fourth Proportional to 524,657,159.20, 787,156,012.68 and 156,195,298.54

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Solution

The fourth proportional to 524,657,159.20, 787,156,012.68 and 156,195,298.54 is: 234,343,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,657,159.20 : 787,156,012.68 = 156,195,298.54 : x
  2. Step 2: Convert to fraction form
    524,657,159.20/787,156,012.68 = 156,195,298.54/x
  3. Step 3: Cross multiply
    524,657,159.20x = 787,156,012.68 × 156,195,298.54
  4. Step 4: Simplify right side
    524,657,159.20x = 122,950,068,398,108,608
  5. Step 5: Solve for x
    x = 122,950,068,398,108,608/524,657,159.20
  6. Step 6: Final answer
    x = 234,343,639.92

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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.