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Finding the Fourth Proportional to 162,164,592,023.40, 243,246,888,035.10 and 162,164,592,023.40

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Solution

The fourth proportional to 162,164,592,023.40, 243,246,888,035.10 and 162,164,592,023.40 is: 243,246,888,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,164,592,023.40 : 243,246,888,035.10 = 162,164,592,023.40 : x
  2. Step 2: Convert to fraction form
    162,164,592,023.40/243,246,888,035.10 = 162,164,592,023.40/x
  3. Step 3: Cross multiply
    162,164,592,023.40x = 243,246,888,035.10 × 162,164,592,023.40
  4. Step 4: Simplify right side
    162,164,592,023.40x = 39,446,032,359,173,646,188,544
  5. Step 5: Solve for x
    x = 39,446,032,359,173,646,188,544/162,164,592,023.40
  6. Step 6: Final answer
    x = 243,246,888,035.10

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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.