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Finding the Fourth Proportional to 9,016,274,329.90, 12,596,985,160.10 and 9,016,274,329.90

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Solution

The fourth proportional to 9,016,274,329.90, 12,596,985,160.10 and 9,016,274,329.90 is: 12,596,985,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016,274,329.90 : 12,596,985,160.10 = 9,016,274,329.90 : x
  2. Step 2: Convert to fraction form
    9,016,274,329.90/12,596,985,160.10 = 9,016,274,329.90/x
  3. Step 3: Cross multiply
    9,016,274,329.90x = 12,596,985,160.10 × 9,016,274,329.90
  4. Step 4: Simplify right side
    9,016,274,329.90x = 113,577,873,933,140,869,120
  5. Step 5: Solve for x
    x = 113,577,873,933,140,869,120/9,016,274,329.90
  6. Step 6: Final answer
    x = 12,596,985,160.10

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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.