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Finding the Fourth Proportional to 9,314,304,053.10, 13,971,456,079.65 and 9,314,304,053.10

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Solution

The fourth proportional to 9,314,304,053.10, 13,971,456,079.65 and 9,314,304,053.10 is: 13,971,456,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314,304,053.10 : 13,971,456,079.65 = 9,314,304,053.10 : x
  2. Step 2: Convert to fraction form
    9,314,304,053.10/13,971,456,079.65 = 9,314,304,053.10/x
  3. Step 3: Cross multiply
    9,314,304,053.10x = 13,971,456,079.65 × 9,314,304,053.10
  4. Step 4: Simplify right side
    9,314,304,053.10x = 130,134,389,990,392,627,200
  5. Step 5: Solve for x
    x = 130,134,389,990,392,627,200/9,314,304,053.10
  6. Step 6: Final answer
    x = 13,971,456,079.65

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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.