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Finding the Fourth Proportional to 724,036,896,000.40, 1,086,055,344,000.60 and 724,036,896,000.40

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Solution

The fourth proportional to 724,036,896,000.40, 1,086,055,344,000.60 and 724,036,896,000.40 is: 1,086,055,344,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,036,896,000.40 : 1,086,055,344,000.60 = 724,036,896,000.40 : x
  2. Step 2: Convert to fraction form
    724,036,896,000.40/1,086,055,344,000.60 = 724,036,896,000.40/x
  3. Step 3: Cross multiply
    724,036,896,000.40x = 1,086,055,344,000.60 × 724,036,896,000.40
  4. Step 4: Simplify right side
    724,036,896,000.40x = 786,344,140,154,841,050,644,480
  5. Step 5: Solve for x
    x = 786,344,140,154,841,050,644,480/724,036,896,000.40
  6. Step 6: Final answer
    x = 1,086,055,344,000.60

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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.