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Finding the Fourth Proportional to 200,669,251.60, 301,003,877.40 and 160,358,467.60

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Solution

The fourth proportional to 200,669,251.60, 301,003,877.40 and 160,358,467.60 is: 240,537,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,669,251.60 : 301,003,877.40 = 160,358,467.60 : x
  2. Step 2: Convert to fraction form
    200,669,251.60/301,003,877.40 = 160,358,467.60/x
  3. Step 3: Cross multiply
    200,669,251.60x = 301,003,877.40 × 160,358,467.60
  4. Step 4: Simplify right side
    200,669,251.60x = 48,268,520,521,522,264
  5. Step 5: Solve for x
    x = 48,268,520,521,522,264/200,669,251.60
  6. Step 6: Final answer
    x = 240,537,701.40

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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.