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Finding the Fourth Proportional to 145,168,882,176.60, 217,753,323,264.90 and 145,168,882,176.60

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Solution

The fourth proportional to 145,168,882,176.60, 217,753,323,264.90 and 145,168,882,176.60 is: 217,753,323,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,168,882,176.60 : 217,753,323,264.90 = 145,168,882,176.60 : x
  2. Step 2: Convert to fraction form
    145,168,882,176.60/217,753,323,264.90 = 145,168,882,176.60/x
  3. Step 3: Cross multiply
    145,168,882,176.60x = 217,753,323,264.90 × 145,168,882,176.60
  4. Step 4: Simplify right side
    145,168,882,176.60x = 31,611,006,528,605,361,537,024
  5. Step 5: Solve for x
    x = 31,611,006,528,605,361,537,024/145,168,882,176.60
  6. Step 6: Final answer
    x = 217,753,323,264.90

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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.