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Finding the Fourth Proportional to 724,036,698,750.15, 1,086,055,048,125.20 and 724,036,698,750.15

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Solution

The fourth proportional to 724,036,698,750.15, 1,086,055,048,125.20 and 724,036,698,750.15 is: 1,086,055,048,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,036,698,750.15 : 1,086,055,048,125.20 = 724,036,698,750.15 : x
  2. Step 2: Convert to fraction form
    724,036,698,750.15/1,086,055,048,125.20 = 724,036,698,750.15/x
  3. Step 3: Cross multiply
    724,036,698,750.15x = 1,086,055,048,125.20 × 724,036,698,750.15
  4. Step 4: Simplify right side
    724,036,698,750.15x = 786,343,711,705,505,126,678,528
  5. Step 5: Solve for x
    x = 786,343,711,705,505,126,678,528/724,036,698,750.15
  6. Step 6: Final answer
    x = 1,086,055,048,125.20

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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.