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Finding the Fourth Proportional to 584,374,705, 806,462,442.66 and 323,614,321

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Solution

The fourth proportional to 584,374,705, 806,462,442.66 and 323,614,321 is: 446,601,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,374,705 : 806,462,442.66 = 323,614,321 : x
  2. Step 2: Convert to fraction form
    584,374,705/806,462,442.66 = 323,614,321/x
  3. Step 3: Cross multiply
    584,374,705x = 806,462,442.66 × 323,614,321
  4. Step 4: Simplify right side
    584,374,705x = 260,982,795,793,417,312
  5. Step 5: Solve for x
    x = 260,982,795,793,417,312/584,374,705
  6. Step 6: Final answer
    x = 446,601,801.14

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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.