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Finding the Fourth Proportional to 944,784,837.60, 1,417,177,256.40 and 944,784,837.60

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Solution

The fourth proportional to 944,784,837.60, 1,417,177,256.40 and 944,784,837.60 is: 1,417,177,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,784,837.60 : 1,417,177,256.40 = 944,784,837.60 : x
  2. Step 2: Convert to fraction form
    944,784,837.60/1,417,177,256.40 = 944,784,837.60/x
  3. Step 3: Cross multiply
    944,784,837.60x = 1,417,177,256.40 × 944,784,837.60
  4. Step 4: Simplify right side
    944,784,837.60x = 1,338,927,584,038,287,616
  5. Step 5: Solve for x
    x = 1,338,927,584,038,287,616/944,784,837.60
  6. Step 6: Final answer
    x = 1,417,177,256.40

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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.