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Finding the Fourth Proportional to 1,001,676,544.47, 1,502,514,863.43 and 686,231,518.20

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Solution

The fourth proportional to 1,001,676,544.47, 1,502,514,863.43 and 686,231,518.20 is: 1,029,347,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,676,544.47 : 1,502,514,863.43 = 686,231,518.20 : x
  2. Step 2: Convert to fraction form
    1,001,676,544.47/1,502,514,863.43 = 686,231,518.20/x
  3. Step 3: Cross multiply
    1,001,676,544.47x = 1,502,514,863.43 × 686,231,518.20
  4. Step 4: Simplify right side
    1,001,676,544.47x = 1,031,073,055,849,634,688
  5. Step 5: Solve for x
    x = 1,031,073,055,849,634,688/1,001,676,544.47
  6. Step 6: Final answer
    x = 1,029,347,309.31

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Double scale
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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.