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Finding the Fourth Proportional to 6,218,734,575.40, 9,328,101,863.10 and 6,218,734,575.40

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Solution

The fourth proportional to 6,218,734,575.40, 9,328,101,863.10 and 6,218,734,575.40 is: 9,328,101,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218,734,575.40 : 9,328,101,863.10 = 6,218,734,575.40 : x
  2. Step 2: Convert to fraction form
    6,218,734,575.40/9,328,101,863.10 = 6,218,734,575.40/x
  3. Step 3: Cross multiply
    6,218,734,575.40x = 9,328,101,863.10 × 6,218,734,575.40
  4. Step 4: Simplify right side
    6,218,734,575.40x = 58,008,989,578,913,128,448
  5. Step 5: Solve for x
    x = 58,008,989,578,913,128,448/6,218,734,575.40
  6. Step 6: Final answer
    x = 9,328,101,863.10

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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.