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Finding the Fourth Proportional to 6,475,374,414.40, 9,713,061,621.60 and 6,475,374,414.40

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Solution

The fourth proportional to 6,475,374,414.40, 9,713,061,621.60 and 6,475,374,414.40 is: 9,713,061,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,374,414.40 : 9,713,061,621.60 = 6,475,374,414.40 : x
  2. Step 2: Convert to fraction form
    6,475,374,414.40/9,713,061,621.60 = 6,475,374,414.40/x
  3. Step 3: Cross multiply
    6,475,374,414.40x = 9,713,061,621.60 × 6,475,374,414.40
  4. Step 4: Simplify right side
    6,475,374,414.40x = 62,895,710,709,999,214,592
  5. Step 5: Solve for x
    x = 62,895,710,709,999,214,592/6,475,374,414.40
  6. Step 6: Final answer
    x = 9,713,061,621.60

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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.