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Finding the Fourth Proportional to 601,676,044.88, 830,007,347.64 and 392,954,363.60

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Solution

The fourth proportional to 601,676,044.88, 830,007,347.64 and 392,954,363.60 is: 542,077,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,676,044.88 : 830,007,347.64 = 392,954,363.60 : x
  2. Step 2: Convert to fraction form
    601,676,044.88/830,007,347.64 = 392,954,363.60/x
  3. Step 3: Cross multiply
    601,676,044.88x = 830,007,347.64 × 392,954,363.60
  4. Step 4: Simplify right side
    601,676,044.88x = 326,155,009,075,200,192
  5. Step 5: Solve for x
    x = 326,155,009,075,200,192/601,676,044.88
  6. Step 6: Final answer
    x = 542,077,438.27

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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.