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Finding the Fourth Proportional to 604,314,693.40, 906,472,040.10 and 313,085,025.40

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Solution

The fourth proportional to 604,314,693.40, 906,472,040.10 and 313,085,025.40 is: 469,627,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,314,693.40 : 906,472,040.10 = 313,085,025.40 : x
  2. Step 2: Convert to fraction form
    604,314,693.40/906,472,040.10 = 313,085,025.40/x
  3. Step 3: Cross multiply
    604,314,693.40x = 906,472,040.10 × 313,085,025.40
  4. Step 4: Simplify right side
    604,314,693.40x = 283,802,821,699,098,304
  5. Step 5: Solve for x
    x = 283,802,821,699,098,304/604,314,693.40
  6. Step 6: Final answer
    x = 469,627,538.10

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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.