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Finding the Fourth Proportional to 96,173,587,943.60, 134,367,834,835.60 and 96,173,587,943.60

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Solution

The fourth proportional to 96,173,587,943.60, 134,367,834,835.60 and 96,173,587,943.60 is: 134,367,834,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,173,587,943.60 : 134,367,834,835.60 = 96,173,587,943.60 : x
  2. Step 2: Convert to fraction form
    96,173,587,943.60/134,367,834,835.60 = 96,173,587,943.60/x
  3. Step 3: Cross multiply
    96,173,587,943.60x = 134,367,834,835.60 × 96,173,587,943.60
  4. Step 4: Simplify right side
    96,173,587,943.60x = 12,922,636,780,352,697,270,272
  5. Step 5: Solve for x
    x = 12,922,636,780,352,697,270,272/96,173,587,943.60
  6. Step 6: Final answer
    x = 134,367,834,835.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.