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Finding the Fourth Proportional to 539,153,876.80, 808,730,815.20 and 194,160,750.40

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Solution

The fourth proportional to 539,153,876.80, 808,730,815.20 and 194,160,750.40 is: 291,241,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,153,876.80 : 808,730,815.20 = 194,160,750.40 : x
  2. Step 2: Convert to fraction form
    539,153,876.80/808,730,815.20 = 194,160,750.40/x
  3. Step 3: Cross multiply
    539,153,876.80x = 808,730,815.20 × 194,160,750.40
  4. Step 4: Simplify right side
    539,153,876.80x = 157,023,781,950,835,744
  5. Step 5: Solve for x
    x = 157,023,781,950,835,744/539,153,876.80
  6. Step 6: Final answer
    x = 291,241,125.60

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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.