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Finding the Fourth Proportional to 944,784,992.40, 1,417,177,488.60 and 711,990,214.80

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Solution

The fourth proportional to 944,784,992.40, 1,417,177,488.60 and 711,990,214.80 is: 1,067,985,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,784,992.40 : 1,417,177,488.60 = 711,990,214.80 : x
  2. Step 2: Convert to fraction form
    944,784,992.40/1,417,177,488.60 = 711,990,214.80/x
  3. Step 3: Cross multiply
    944,784,992.40x = 1,417,177,488.60 × 711,990,214.80
  4. Step 4: Simplify right side
    944,784,992.40x = 1,009,016,504,518,038,400
  5. Step 5: Solve for x
    x = 1,009,016,504,518,038,400/944,784,992.40
  6. Step 6: Final answer
    x = 1,067,985,322.20

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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.