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Finding the Fourth Proportional to 6,019,366,608,304.90, 9,029,049,912,456.60 and 6,019,366,608,304.90

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Solution

The fourth proportional to 6,019,366,608,304.90, 9,029,049,912,456.60 and 6,019,366,608,304.90 is: 9,029,049,912,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,608,304.90 : 9,029,049,912,456.60 = 6,019,366,608,304.90 : x
  2. Step 2: Convert to fraction form
    6,019,366,608,304.90/9,029,049,912,456.60 = 6,019,366,608,304.90/x
  3. Step 3: Cross multiply
    6,019,366,608,304.90x = 9,029,049,912,456.60 × 6,019,366,608,304.90
  4. Step 4: Simplify right side
    6,019,366,608,304.90x = 54,349,161,547,759,535,704,244,224
  5. Step 5: Solve for x
    x = 54,349,161,547,759,535,704,244,224/6,019,366,608,304.90
  6. Step 6: Final answer
    x = 9,029,049,912,456.60

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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.