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Finding the Fourth Proportional to 966,714,743.43, 1,334,226,339.90 and 570,334,640.31

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Solution

The fourth proportional to 966,714,743.43, 1,334,226,339.90 and 570,334,640.31 is: 787,156,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,714,743.43 : 1,334,226,339.90 = 570,334,640.31 : x
  2. Step 2: Convert to fraction form
    966,714,743.43/1,334,226,339.90 = 570,334,640.31/x
  3. Step 3: Cross multiply
    966,714,743.43x = 1,334,226,339.90 × 570,334,640.31
  4. Step 4: Simplify right side
    966,714,743.43x = 760,955,499,658,994,304
  5. Step 5: Solve for x
    x = 760,955,499,658,994,304/966,714,743.43
  6. Step 6: Final answer
    x = 787,156,195.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.