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Finding the Fourth Proportional to 830,086,473.12, 1,145,543,694.12 and 453,763,857.84

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Solution

The fourth proportional to 830,086,473.12, 1,145,543,694.12 and 453,763,857.84 is: 626,207,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,086,473.12 : 1,145,543,694.12 = 453,763,857.84 : x
  2. Step 2: Convert to fraction form
    830,086,473.12/1,145,543,694.12 = 453,763,857.84/x
  3. Step 3: Cross multiply
    830,086,473.12x = 1,145,543,694.12 × 453,763,857.84
  4. Step 4: Simplify right side
    830,086,473.12x = 519,806,325,968,176,064
  5. Step 5: Solve for x
    x = 519,806,325,968,176,064/830,086,473.12
  6. Step 6: Final answer
    x = 626,207,440.79

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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.