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Finding the Fourth Proportional to 314,319,899, 433,941,253.90 and 208,616,658.32

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Solution

The fourth proportional to 314,319,899, 433,941,253.90 and 208,616,658.32 is: 288,010,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,319,899 : 433,941,253.90 = 208,616,658.32 : x
  2. Step 2: Convert to fraction form
    314,319,899/433,941,253.90 = 208,616,658.32/x
  3. Step 3: Cross multiply
    314,319,899x = 433,941,253.90 × 208,616,658.32
  4. Step 4: Simplify right side
    314,319,899x = 90,527,374,295,808,656
  5. Step 5: Solve for x
    x = 90,527,374,295,808,656/314,319,899
  6. Step 6: Final answer
    x = 288,010,318.74

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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.