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Finding the Fourth Proportional to 200,406,986,818.40, 300,610,480,227.60 and 200,406,986,818.40

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Solution

The fourth proportional to 200,406,986,818.40, 300,610,480,227.60 and 200,406,986,818.40 is: 300,610,480,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406,986,818.40 : 300,610,480,227.60 = 200,406,986,818.40 : x
  2. Step 2: Convert to fraction form
    200,406,986,818.40/300,610,480,227.60 = 200,406,986,818.40/x
  3. Step 3: Cross multiply
    200,406,986,818.40x = 300,610,480,227.60 × 200,406,986,818.40
  4. Step 4: Simplify right side
    200,406,986,818.40x = 60,244,440,548,445,521,969,152
  5. Step 5: Solve for x
    x = 60,244,440,548,445,521,969,152/200,406,986,818.40
  6. Step 6: Final answer
    x = 300,610,480,227.60

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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.