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Finding the Fourth Proportional to 102,656,000.20, 153,984,000.30 and 30,852,416.20

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Solution

The fourth proportional to 102,656,000.20, 153,984,000.30 and 30,852,416.20 is: 46,278,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656,000.20 : 153,984,000.30 = 30,852,416.20 : x
  2. Step 2: Convert to fraction form
    102,656,000.20/153,984,000.30 = 30,852,416.20/x
  3. Step 3: Cross multiply
    102,656,000.20x = 153,984,000.30 × 30,852,416.20
  4. Step 4: Simplify right side
    102,656,000.20x = 4,750,778,465,396,525
  5. Step 5: Solve for x
    x = 4,750,778,465,396,525/102,656,000.20
  6. Step 6: Final answer
    x = 46,278,624.30

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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.