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Finding the Fourth Proportional to 96,854,661,651.90, 145,281,992,477.85 and 96,854,661,651.90

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Solution

The fourth proportional to 96,854,661,651.90, 145,281,992,477.85 and 96,854,661,651.90 is: 145,281,992,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,854,661,651.90 : 145,281,992,477.85 = 96,854,661,651.90 : x
  2. Step 2: Convert to fraction form
    96,854,661,651.90/145,281,992,477.85 = 96,854,661,651.90/x
  3. Step 3: Cross multiply
    96,854,661,651.90x = 145,281,992,477.85 × 96,854,661,651.90
  4. Step 4: Simplify right side
    96,854,661,651.90x = 14,071,238,225,556,041,367,552
  5. Step 5: Solve for x
    x = 14,071,238,225,556,041,367,552/96,854,661,651.90
  6. Step 6: Final answer
    x = 145,281,992,477.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.