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Finding the Fourth Proportional to 1,034,857,801.10, 1,552,286,701.65 and 830,784,457.10

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Solution

The fourth proportional to 1,034,857,801.10, 1,552,286,701.65 and 830,784,457.10 is: 1,246,176,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,857,801.10 : 1,552,286,701.65 = 830,784,457.10 : x
  2. Step 2: Convert to fraction form
    1,034,857,801.10/1,552,286,701.65 = 830,784,457.10/x
  3. Step 3: Cross multiply
    1,034,857,801.10x = 1,552,286,701.65 × 830,784,457.10
  4. Step 4: Simplify right side
    1,034,857,801.10x = 1,289,615,664,693,844,992
  5. Step 5: Solve for x
    x = 1,289,615,664,693,844,992/1,034,857,801.10
  6. Step 6: Final answer
    x = 1,246,176,685.65

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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.