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Finding the Fourth Proportional to 291,488,946.30, 437,233,419.45 and 291,488,946.30

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Solution

The fourth proportional to 291,488,946.30, 437,233,419.45 and 291,488,946.30 is: 437,233,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,488,946.30 : 437,233,419.45 = 291,488,946.30 : x
  2. Step 2: Convert to fraction form
    291,488,946.30/437,233,419.45 = 291,488,946.30/x
  3. Step 3: Cross multiply
    291,488,946.30x = 437,233,419.45 × 291,488,946.30
  4. Step 4: Simplify right side
    291,488,946.30x = 127,448,708,722,626,432
  5. Step 5: Solve for x
    x = 127,448,708,722,626,432/291,488,946.30
  6. Step 6: Final answer
    x = 437,233,419.45

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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.