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Finding the Fourth Proportional to 602,010,000.85, 902,798,138.35 and 208,429,968.64

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Solution

The fourth proportional to 602,010,000.85, 902,798,138.35 and 208,429,968.64 is: 312,569,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,010,000.85 : 902,798,138.35 = 208,429,968.64 : x
  2. Step 2: Convert to fraction form
    602,010,000.85/902,798,138.35 = 208,429,968.64/x
  3. Step 3: Cross multiply
    602,010,000.85x = 902,798,138.35 × 208,429,968.64
  4. Step 4: Simplify right side
    602,010,000.85x = 188,170,187,664,540,864
  5. Step 5: Solve for x
    x = 188,170,187,664,540,864/602,010,000.85
  6. Step 6: Final answer
    x = 312,569,869.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.