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Finding the Fourth Proportional to 822,072,811.80, 1,233,109,217.70 and 822,072,811.80

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Solution

The fourth proportional to 822,072,811.80, 1,233,109,217.70 and 822,072,811.80 is: 1,233,109,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,072,811.80 : 1,233,109,217.70 = 822,072,811.80 : x
  2. Step 2: Convert to fraction form
    822,072,811.80/1,233,109,217.70 = 822,072,811.80/x
  3. Step 3: Cross multiply
    822,072,811.80x = 1,233,109,217.70 × 822,072,811.80
  4. Step 4: Simplify right side
    822,072,811.80x = 1,013,705,561,851,137,280
  5. Step 5: Solve for x
    x = 1,013,705,561,851,137,280/822,072,811.80
  6. Step 6: Final answer
    x = 1,233,109,217.70

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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.