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Finding the Fourth Proportional to 906,594,499.89, 1,360,169,282.57 and 464,250,375.86

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Solution

The fourth proportional to 906,594,499.89, 1,360,169,282.57 and 464,250,375.86 is: 696,517,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,594,499.89 : 1,360,169,282.57 = 464,250,375.86 : x
  2. Step 2: Convert to fraction form
    906,594,499.89/1,360,169,282.57 = 464,250,375.86/x
  3. Step 3: Cross multiply
    906,594,499.89x = 1,360,169,282.57 × 464,250,375.86
  4. Step 4: Simplify right side
    906,594,499.89x = 631,459,100,657,227,008
  5. Step 5: Solve for x
    x = 631,459,100,657,227,008/906,594,499.89
  6. Step 6: Final answer
    x = 696,517,683.19

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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.