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Finding the Fourth Proportional to 9,585,656,016.30, 14,378,484,024.45 and 9,585,656,016.30

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Solution

The fourth proportional to 9,585,656,016.30, 14,378,484,024.45 and 9,585,656,016.30 is: 14,378,484,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585,656,016.30 : 14,378,484,024.45 = 9,585,656,016.30 : x
  2. Step 2: Convert to fraction form
    9,585,656,016.30/14,378,484,024.45 = 9,585,656,016.30/x
  3. Step 3: Cross multiply
    9,585,656,016.30x = 14,378,484,024.45 × 9,585,656,016.30
  4. Step 4: Simplify right side
    9,585,656,016.30x = 137,827,201,894,242,582,528
  5. Step 5: Solve for x
    x = 137,827,201,894,242,582,528/9,585,656,016.30
  6. Step 6: Final answer
    x = 14,378,484,024.45

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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.