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Finding the Fourth Proportional to 310,818,285,914.38, 466,227,428,871.60 and 310,818,285,914.38

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Solution

The fourth proportional to 310,818,285,914.38, 466,227,428,871.60 and 310,818,285,914.38 is: 466,227,428,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,818,285,914.38 : 466,227,428,871.60 = 310,818,285,914.38 : x
  2. Step 2: Convert to fraction form
    310,818,285,914.38/466,227,428,871.60 = 310,818,285,914.38/x
  3. Step 3: Cross multiply
    310,818,285,914.38x = 466,227,428,871.60 × 310,818,285,914.38
  4. Step 4: Simplify right side
    310,818,285,914.38x = 144,912,010,288,139,222,384,640
  5. Step 5: Solve for x
    x = 144,912,010,288,139,222,384,640/310,818,285,914.38
  6. Step 6: Final answer
    x = 466,227,428,871.60

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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.