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Finding the Fourth Proportional to 1,766,294,405, 2,437,502,398.70 and 973,368,834.22

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Solution

The fourth proportional to 1,766,294,405, 2,437,502,398.70 and 973,368,834.22 is: 1,343,257,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,294,405 : 2,437,502,398.70 = 973,368,834.22 : x
  2. Step 2: Convert to fraction form
    1,766,294,405/2,437,502,398.70 = 973,368,834.22/x
  3. Step 3: Cross multiply
    1,766,294,405x = 2,437,502,398.70 × 973,368,834.22
  4. Step 4: Simplify right side
    1,766,294,405x = 2,372,588,868,231,072,768
  5. Step 5: Solve for x
    x = 2,372,588,868,231,072,768/1,766,294,405
  6. Step 6: Final answer
    x = 1,343,257,874.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.