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Finding the Fourth Proportional to 950,662,657,923.40, 1,425,993,986,885.10 and 950,662,657,923.40

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Solution

The fourth proportional to 950,662,657,923.40, 1,425,993,986,885.10 and 950,662,657,923.40 is: 1,425,993,986,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,662,657,923.40 : 1,425,993,986,885.10 = 950,662,657,923.40 : x
  2. Step 2: Convert to fraction form
    950,662,657,923.40/1,425,993,986,885.10 = 950,662,657,923.40/x
  3. Step 3: Cross multiply
    950,662,657,923.40x = 1,425,993,986,885.10 × 950,662,657,923.40
  4. Step 4: Simplify right side
    950,662,657,923.40x = 1,355,639,233,754,975,187,238,912
  5. Step 5: Solve for x
    x = 1,355,639,233,754,975,187,238,912/950,662,657,923.40
  6. Step 6: Final answer
    x = 1,425,993,986,885.10

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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.