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Finding the Fourth Proportional to 6,019,366,657,072.90, 9,029,049,985,609.20 and 6,019,366,657,072.90

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Solution

The fourth proportional to 6,019,366,657,072.90, 9,029,049,985,609.20 and 6,019,366,657,072.90 is: 9,029,049,985,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,657,072.90 : 9,029,049,985,609.20 = 6,019,366,657,072.90 : x
  2. Step 2: Convert to fraction form
    6,019,366,657,072.90/9,029,049,985,609.20 = 6,019,366,657,072.90/x
  3. Step 3: Cross multiply
    6,019,366,657,072.90x = 9,029,049,985,609.20 × 6,019,366,657,072.90
  4. Step 4: Simplify right side
    6,019,366,657,072.90x = 54,349,162,428,420,563,746,684,928
  5. Step 5: Solve for x
    x = 54,349,162,428,420,563,746,684,928/6,019,366,657,072.90
  6. Step 6: Final answer
    x = 9,029,049,985,609.20

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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.