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Finding the Fourth Proportional to 606,393,920.40, 909,590,967.90 and 146,332,091.40

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Solution

The fourth proportional to 606,393,920.40, 909,590,967.90 and 146,332,091.40 is: 219,498,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,393,920.40 : 909,590,967.90 = 146,332,091.40 : x
  2. Step 2: Convert to fraction form
    606,393,920.40/909,590,967.90 = 146,332,091.40/x
  3. Step 3: Cross multiply
    606,393,920.40x = 909,590,967.90 × 146,332,091.40
  4. Step 4: Simplify right side
    606,393,920.40x = 133,102,348,651,357,264
  5. Step 5: Solve for x
    x = 133,102,348,651,357,264/606,393,920.40
  6. Step 6: Final answer
    x = 219,498,158.17

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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.