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Finding the Fourth Proportional to 605,322,564.60, 907,983,846.90 and 458,963,713.20

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Solution

The fourth proportional to 605,322,564.60, 907,983,846.90 and 458,963,713.20 is: 688,445,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,322,564.60 : 907,983,846.90 = 458,963,713.20 : x
  2. Step 2: Convert to fraction form
    605,322,564.60/907,983,846.90 = 458,963,713.20/x
  3. Step 3: Cross multiply
    605,322,564.60x = 907,983,846.90 × 458,963,713.20
  4. Step 4: Simplify right side
    605,322,564.60x = 416,731,637,898,844,288
  5. Step 5: Solve for x
    x = 416,731,637,898,844,288/605,322,564.60
  6. Step 6: Final answer
    x = 688,445,569.80

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1.5x scale

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.