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Finding the Fourth Proportional to 675,264,512.80, 947,520,226.40 and 675,264,512.80

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Solution

The fourth proportional to 675,264,512.80, 947,520,226.40 and 675,264,512.80 is: 947,520,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,264,512.80 : 947,520,226.40 = 675,264,512.80 : x
  2. Step 2: Convert to fraction form
    675,264,512.80/947,520,226.40 = 675,264,512.80/x
  3. Step 3: Cross multiply
    675,264,512.80x = 947,520,226.40 × 675,264,512.80
  4. Step 4: Simplify right side
    675,264,512.80x = 639,826,784,048,141,696
  5. Step 5: Solve for x
    x = 639,826,784,048,141,696/675,264,512.80
  6. Step 6: Final answer
    x = 947,520,226.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.