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Finding the Fourth Proportional to 806,406,375.60, 1,208,759,257.80 and 314,929,738.80

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Solution

The fourth proportional to 806,406,375.60, 1,208,759,257.80 and 314,929,738.80 is: 472,062,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,406,375.60 : 1,208,759,257.80 = 314,929,738.80 : x
  2. Step 2: Convert to fraction form
    806,406,375.60/1,208,759,257.80 = 314,929,738.80/x
  3. Step 3: Cross multiply
    806,406,375.60x = 1,208,759,257.80 × 314,929,738.80
  4. Step 4: Simplify right side
    806,406,375.60x = 380,674,237,331,035,840
  5. Step 5: Solve for x
    x = 380,674,237,331,035,840/806,406,375.60
  6. Step 6: Final answer
    x = 472,062,534.29

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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.