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Finding the Fourth Proportional to 200,406,986,335.40, 300,610,479,503.10 and 200,406,986,335.40

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Solution

The fourth proportional to 200,406,986,335.40, 300,610,479,503.10 and 200,406,986,335.40 is: 300,610,479,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406,986,335.40 : 300,610,479,503.10 = 200,406,986,335.40 : x
  2. Step 2: Convert to fraction form
    200,406,986,335.40/300,610,479,503.10 = 200,406,986,335.40/x
  3. Step 3: Cross multiply
    200,406,986,335.40x = 300,610,479,503.10 × 200,406,986,335.40
  4. Step 4: Simplify right side
    200,406,986,335.40x = 60,244,440,258,055,795,376,128
  5. Step 5: Solve for x
    x = 60,244,440,258,055,795,376,128/200,406,986,335.40
  6. Step 6: Final answer
    x = 300,610,479,503.10

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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.