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Finding the Fourth Proportional to 1,001,676,541.47, 1,502,514,858.94 and 686,231,515.20

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Solution

The fourth proportional to 1,001,676,541.47, 1,502,514,858.94 and 686,231,515.20 is: 1,029,347,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,676,541.47 : 1,502,514,858.94 = 686,231,515.20 : x
  2. Step 2: Convert to fraction form
    1,001,676,541.47/1,502,514,858.94 = 686,231,515.20/x
  3. Step 3: Cross multiply
    1,001,676,541.47x = 1,502,514,858.94 × 686,231,515.20
  4. Step 4: Simplify right side
    1,001,676,541.47x = 1,031,073,048,260,296,832
  5. Step 5: Solve for x
    x = 1,031,073,048,260,296,832/1,001,676,541.47
  6. Step 6: Final answer
    x = 1,029,347,304.81

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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.