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Finding the Fourth Proportional to 564,727,940.84, 779,343,483.76 and 313,842,906.95

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Solution

The fourth proportional to 564,727,940.84, 779,343,483.76 and 313,842,906.95 is: 433,113,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,727,940.84 : 779,343,483.76 = 313,842,906.95 : x
  2. Step 2: Convert to fraction form
    564,727,940.84/779,343,483.76 = 313,842,906.95/x
  3. Step 3: Cross multiply
    564,727,940.84x = 779,343,483.76 × 313,842,906.95
  4. Step 4: Simplify right side
    564,727,940.84x = 244,591,424,451,097,216
  5. Step 5: Solve for x
    x = 244,591,424,451,097,216/564,727,940.84
  6. Step 6: Final answer
    x = 433,113,729.22

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