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Finding the Fourth Proportional to 2,266,617,461,643, 3,399,926,192,465 and 2,266,617,461,643

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Solution

The fourth proportional to 2,266,617,461,643, 3,399,926,192,465 and 2,266,617,461,643 is: 3,399,926,192,465

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,617,461,643 : 3,399,926,192,465 = 2,266,617,461,643 : x
  2. Step 2: Convert to fraction form
    2,266,617,461,643/3,399,926,192,465 = 2,266,617,461,643/x
  3. Step 3: Cross multiply
    2,266,617,461,643x = 3,399,926,192,465 × 2,266,617,461,643
  4. Step 4: Simplify right side
    2,266,617,461,643x = 7,706,332,076,138,568,045,559,808
  5. Step 5: Solve for x
    x = 7,706,332,076,138,568,045,559,808/2,266,617,461,643
  6. Step 6: Final answer
    x = 3,399,926,192,465

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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.