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Finding the Fourth Proportional to 1,164,655,001,835.50, 1,746,982,502,753.10 and 1,164,655,001,835.50

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Solution

The fourth proportional to 1,164,655,001,835.50, 1,746,982,502,753.10 and 1,164,655,001,835.50 is: 1,746,982,502,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,655,001,835.50 : 1,746,982,502,753.10 = 1,164,655,001,835.50 : x
  2. Step 2: Convert to fraction form
    1,164,655,001,835.50/1,746,982,502,753.10 = 1,164,655,001,835.50/x
  3. Step 3: Cross multiply
    1,164,655,001,835.50x = 1,746,982,502,753.10 × 1,164,655,001,835.50
  4. Step 4: Simplify right side
    1,164,655,001,835.50x = 2,034,631,909,950,498,281,619,456
  5. Step 5: Solve for x
    x = 2,034,631,909,950,498,281,619,456/1,164,655,001,835.50
  6. Step 6: Final answer
    x = 1,746,982,502,753.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.