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Finding the Fourth Proportional to 1,001,687,780,821.90, 1,502,531,671,232.90 and 1,001,687,780,821.90

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Solution

The fourth proportional to 1,001,687,780,821.90, 1,502,531,671,232.90 and 1,001,687,780,821.90 is: 1,502,531,671,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,687,780,821.90 : 1,502,531,671,232.90 = 1,001,687,780,821.90 : x
  2. Step 2: Convert to fraction form
    1,001,687,780,821.90/1,502,531,671,232.90 = 1,001,687,780,821.90/x
  3. Step 3: Cross multiply
    1,001,687,780,821.90x = 1,502,531,671,232.90 × 1,001,687,780,821.90
  4. Step 4: Simplify right side
    1,001,687,780,821.90x = 1,505,067,615,371,904,126,287,872
  5. Step 5: Solve for x
    x = 1,505,067,615,371,904,126,287,872/1,001,687,780,821.90
  6. Step 6: Final answer
    x = 1,502,531,671,232.90

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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.