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Finding the Fourth Proportional to 146,678,312,408.90, 220,017,468,613.35 and 146,678,312,408.90

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Solution

The fourth proportional to 146,678,312,408.90, 220,017,468,613.35 and 146,678,312,408.90 is: 220,017,468,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678,312,408.90 : 220,017,468,613.35 = 146,678,312,408.90 : x
  2. Step 2: Convert to fraction form
    146,678,312,408.90/220,017,468,613.35 = 146,678,312,408.90/x
  3. Step 3: Cross multiply
    146,678,312,408.90x = 220,017,468,613.35 × 146,678,312,408.90
  4. Step 4: Simplify right side
    146,678,312,408.90x = 32,271,790,996,684,302,974,976
  5. Step 5: Solve for x
    x = 32,271,790,996,684,302,974,976/146,678,312,408.90
  6. Step 6: Final answer
    x = 220,017,468,613.35

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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.