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Finding the Fourth Proportional to 962,784,278.10, 1,328,647,607.01 and 522,751,130.10

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Solution

The fourth proportional to 962,784,278.10, 1,328,647,607.01 and 522,751,130.10 is: 721,399,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,784,278.10 : 1,328,647,607.01 = 522,751,130.10 : x
  2. Step 2: Convert to fraction form
    962,784,278.10/1,328,647,607.01 = 522,751,130.10/x
  3. Step 3: Cross multiply
    962,784,278.10x = 1,328,647,607.01 × 522,751,130.10
  4. Step 4: Simplify right side
    962,784,278.10x = 694,552,038,069,138,176
  5. Step 5: Solve for x
    x = 694,552,038,069,138,176/962,784,278.10
  6. Step 6: Final answer
    x = 721,399,438.97

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1.5x scale

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.