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Finding the Fourth Proportional to 267,142,473,121.05, 400,713,709,681.57 and 267,142,473,121.05

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Solution

The fourth proportional to 267,142,473,121.05, 400,713,709,681.57 and 267,142,473,121.05 is: 400,713,709,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,473,121.05 : 400,713,709,681.57 = 267,142,473,121.05 : x
  2. Step 2: Convert to fraction form
    267,142,473,121.05/400,713,709,681.57 = 267,142,473,121.05/x
  3. Step 3: Cross multiply
    267,142,473,121.05x = 400,713,709,681.57 × 267,142,473,121.05
  4. Step 4: Simplify right side
    267,142,473,121.05x = 107,047,651,417,845,036,744,704
  5. Step 5: Solve for x
    x = 107,047,651,417,845,036,744,704/267,142,473,121.05
  6. Step 6: Final answer
    x = 400,713,709,681.57

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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.