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Finding the Fourth Proportional to 867,874,859.85, 1,197,677,012.04 and 510,721,596.56

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Solution

The fourth proportional to 867,874,859.85, 1,197,677,012.04 and 510,721,596.56 is: 704,801,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,874,859.85 : 1,197,677,012.04 = 510,721,596.56 : x
  2. Step 2: Convert to fraction form
    867,874,859.85/1,197,677,012.04 = 510,721,596.56/x
  3. Step 3: Cross multiply
    867,874,859.85x = 1,197,677,012.04 × 510,721,596.56
  4. Step 4: Simplify right side
    867,874,859.85x = 611,679,515,746,290,688
  5. Step 5: Solve for x
    x = 611,679,515,746,290,688/867,874,859.85
  6. Step 6: Final answer
    x = 704,801,514.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.