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Finding the Fourth Proportional to 108,602,944,687.60, 162,904,417,031.40 and 108,602,944,687.60

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Solution

The fourth proportional to 108,602,944,687.60, 162,904,417,031.40 and 108,602,944,687.60 is: 162,904,417,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,602,944,687.60 : 162,904,417,031.40 = 108,602,944,687.60 : x
  2. Step 2: Convert to fraction form
    108,602,944,687.60/162,904,417,031.40 = 108,602,944,687.60/x
  3. Step 3: Cross multiply
    108,602,944,687.60x = 162,904,417,031.40 × 108,602,944,687.60
  4. Step 4: Simplify right side
    108,602,944,687.60x = 17,691,899,392,226,857,320,448
  5. Step 5: Solve for x
    x = 17,691,899,392,226,857,320,448/108,602,944,687.60
  6. Step 6: Final answer
    x = 162,904,417,031.40

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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.