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Finding the Fourth Proportional to 286,654,437.60, 429,981,656.40 and 157,212,031.20

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Solution

The fourth proportional to 286,654,437.60, 429,981,656.40 and 157,212,031.20 is: 235,818,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,654,437.60 : 429,981,656.40 = 157,212,031.20 : x
  2. Step 2: Convert to fraction form
    286,654,437.60/429,981,656.40 = 157,212,031.20/x
  3. Step 3: Cross multiply
    286,654,437.60x = 429,981,656.40 × 157,212,031.20
  4. Step 4: Simplify right side
    286,654,437.60x = 67,598,289,581,384,472
  5. Step 5: Solve for x
    x = 67,598,289,581,384,472/286,654,437.60
  6. Step 6: Final answer
    x = 235,818,046.80

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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.