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Finding the Fourth Proportional to 408,966,281.40, 613,225,473.30 and 166,355,081.40

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Solution

The fourth proportional to 408,966,281.40, 613,225,473.30 and 166,355,081.40 is: 249,441,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,966,281.40 : 613,225,473.30 = 166,355,081.40 : x
  2. Step 2: Convert to fraction form
    408,966,281.40/613,225,473.30 = 166,355,081.40/x
  3. Step 3: Cross multiply
    408,966,281.40x = 613,225,473.30 × 166,355,081.40
  4. Step 4: Simplify right side
    408,966,281.40x = 102,013,173,527,375,024
  5. Step 5: Solve for x
    x = 102,013,173,527,375,024/408,966,281.40
  6. Step 6: Final answer
    x = 249,441,526.52

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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.