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Finding the Fourth Proportional to 6,019,366,608,306.30, 9,029,049,912,459.60 and 6,019,366,608,306.30

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Solution

The fourth proportional to 6,019,366,608,306.30, 9,029,049,912,459.60 and 6,019,366,608,306.30 is: 9,029,049,912,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,608,306.30 : 9,029,049,912,459.60 = 6,019,366,608,306.30 : x
  2. Step 2: Convert to fraction form
    6,019,366,608,306.30/9,029,049,912,459.60 = 6,019,366,608,306.30/x
  3. Step 3: Cross multiply
    6,019,366,608,306.30x = 9,029,049,912,459.60 × 6,019,366,608,306.30
  4. Step 4: Simplify right side
    6,019,366,608,306.30x = 54,349,161,547,790,236,130,476,032
  5. Step 5: Solve for x
    x = 54,349,161,547,790,236,130,476,032/6,019,366,608,306.30
  6. Step 6: Final answer
    x = 9,029,049,912,459.60

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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.