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Finding the Fourth Proportional to 298,973,894.60, 448,460,841.90 and 137,730,758.60

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Solution

The fourth proportional to 298,973,894.60, 448,460,841.90 and 137,730,758.60 is: 206,596,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973,894.60 : 448,460,841.90 = 137,730,758.60 : x
  2. Step 2: Convert to fraction form
    298,973,894.60/448,460,841.90 = 137,730,758.60/x
  3. Step 3: Cross multiply
    298,973,894.60x = 448,460,841.90 × 137,730,758.60
  4. Step 4: Simplify right side
    298,973,894.60x = 61,766,851,957,281,656
  5. Step 5: Solve for x
    x = 61,766,851,957,281,656/298,973,894.60
  6. Step 6: Final answer
    x = 206,596,137.90

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Why These Related Problems?

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