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Finding the Fourth Proportional to 146,678,312,408.40, 220,017,468,612.60 and 146,678,312,408.40

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Solution

The fourth proportional to 146,678,312,408.40, 220,017,468,612.60 and 146,678,312,408.40 is: 220,017,468,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678,312,408.40 : 220,017,468,612.60 = 146,678,312,408.40 : x
  2. Step 2: Convert to fraction form
    146,678,312,408.40/220,017,468,612.60 = 146,678,312,408.40/x
  3. Step 3: Cross multiply
    146,678,312,408.40x = 220,017,468,612.60 × 146,678,312,408.40
  4. Step 4: Simplify right side
    146,678,312,408.40x = 32,271,790,996,464,282,370,048
  5. Step 5: Solve for x
    x = 32,271,790,996,464,282,370,048/146,678,312,408.40
  6. Step 6: Final answer
    x = 220,017,468,612.60

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1.5x scale

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.