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Finding the Fourth Proportional to 684,841,724.04, 945,069,660.72 and 416,820,675

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Solution

The fourth proportional to 684,841,724.04, 945,069,660.72 and 416,820,675 is: 575,205,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,841,724.04 : 945,069,660.72 = 416,820,675 : x
  2. Step 2: Convert to fraction form
    684,841,724.04/945,069,660.72 = 416,820,675/x
  3. Step 3: Cross multiply
    684,841,724.04x = 945,069,660.72 × 416,820,675
  4. Step 4: Simplify right side
    684,841,724.04x = 393,924,573,903,331,392
  5. Step 5: Solve for x
    x = 393,924,573,903,331,392/684,841,724.04
  6. Step 6: Final answer
    x = 575,205,277.48

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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.