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Finding the Fourth Proportional to 662,710,365,301.15, 994,065,547,951.73 and 662,710,365,301.15

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Solution

The fourth proportional to 662,710,365,301.15, 994,065,547,951.73 and 662,710,365,301.15 is: 994,065,547,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,710,365,301.15 : 994,065,547,951.73 = 662,710,365,301.15 : x
  2. Step 2: Convert to fraction form
    662,710,365,301.15/994,065,547,951.73 = 662,710,365,301.15/x
  3. Step 3: Cross multiply
    662,710,365,301.15x = 994,065,547,951.73 × 662,710,365,301.15
  4. Step 4: Simplify right side
    662,710,365,301.15x = 658,777,542,416,378,791,723,008
  5. Step 5: Solve for x
    x = 658,777,542,416,378,791,723,008/662,710,365,301.15
  6. Step 6: Final answer
    x = 994,065,547,951.73

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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.