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Finding the Fourth Proportional to 632,908,671, 873,195,386.04 and 397,977,209.16

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Solution

The fourth proportional to 632,908,671, 873,195,386.04 and 397,977,209.16 is: 549,071,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,908,671 : 873,195,386.04 = 397,977,209.16 : x
  2. Step 2: Convert to fraction form
    632,908,671/873,195,386.04 = 397,977,209.16/x
  3. Step 3: Cross multiply
    632,908,671x = 873,195,386.04 × 397,977,209.16
  4. Step 4: Simplify right side
    632,908,671x = 347,511,862,787,588,032
  5. Step 5: Solve for x
    x = 347,511,862,787,588,032/632,908,671
  6. Step 6: Final answer
    x = 549,071,104.11

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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.