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Finding the Fourth Proportional to 714,888,261.81, 986,625,684 and 432,786,142.80

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Solution

The fourth proportional to 714,888,261.81, 986,625,684 and 432,786,142.80 is: 597,293,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,888,261.81 : 986,625,684 = 432,786,142.80 : x
  2. Step 2: Convert to fraction form
    714,888,261.81/986,625,684 = 432,786,142.80/x
  3. Step 3: Cross multiply
    714,888,261.81x = 986,625,684 × 432,786,142.80
  4. Step 4: Simplify right side
    714,888,261.81x = 426,997,924,165,771,712
  5. Step 5: Solve for x
    x = 426,997,924,165,771,712/714,888,261.81
  6. Step 6: Final answer
    x = 597,293,237.25

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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.