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Finding the Fourth Proportional to 886,464,200.40, 1,243,090,614 and 886,464,200.40

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Solution

The fourth proportional to 886,464,200.40, 1,243,090,614 and 886,464,200.40 is: 1,243,090,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,464,200.40 : 1,243,090,614 = 886,464,200.40 : x
  2. Step 2: Convert to fraction form
    886,464,200.40/1,243,090,614 = 886,464,200.40/x
  3. Step 3: Cross multiply
    886,464,200.40x = 1,243,090,614 × 886,464,200.40
  4. Step 4: Simplify right side
    886,464,200.40x = 1,101,955,327,164,254,976
  5. Step 5: Solve for x
    x = 1,101,955,327,164,254,976/886,464,200.40
  6. Step 6: Final answer
    x = 1,243,090,614

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.