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Finding the Fourth Proportional to 497,169,575,998.08, 745,754,363,997.08 and 497,169,575,998.08

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Solution

The fourth proportional to 497,169,575,998.08, 745,754,363,997.08 and 497,169,575,998.08 is: 745,754,363,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,169,575,998.08 : 745,754,363,997.08 = 497,169,575,998.08 : x
  2. Step 2: Convert to fraction form
    497,169,575,998.08/745,754,363,997.08 = 497,169,575,998.08/x
  3. Step 3: Cross multiply
    497,169,575,998.08x = 745,754,363,997.08 × 497,169,575,998.08
  4. Step 4: Simplify right side
    497,169,575,998.08x = 370,766,380,947,146,067,148,800
  5. Step 5: Solve for x
    x = 370,766,380,947,146,067,148,800/497,169,575,998.08
  6. Step 6: Final answer
    x = 745,754,363,997.08

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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.