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Finding the Fourth Proportional to 961,560,001.60, 1,442,340,002.40 and 598,762,945.60

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Solution

The fourth proportional to 961,560,001.60, 1,442,340,002.40 and 598,762,945.60 is: 898,144,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,560,001.60 : 1,442,340,002.40 = 598,762,945.60 : x
  2. Step 2: Convert to fraction form
    961,560,001.60/1,442,340,002.40 = 598,762,945.60/x
  3. Step 3: Cross multiply
    961,560,001.60x = 1,442,340,002.40 × 598,762,945.60
  4. Step 4: Simplify right side
    961,560,001.60x = 863,619,748,393,735,168
  5. Step 5: Solve for x
    x = 863,619,748,393,735,168/961,560,001.60
  6. Step 6: Final answer
    x = 898,144,418.40

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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.