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Finding the Fourth Proportional to 99,845,643.90, 140,187,009.30 and 99,845,643.90

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Solution

The fourth proportional to 99,845,643.90, 140,187,009.30 and 99,845,643.90 is: 140,187,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,845,643.90 : 140,187,009.30 = 99,845,643.90 : x
  2. Step 2: Convert to fraction form
    99,845,643.90/140,187,009.30 = 99,845,643.90/x
  3. Step 3: Cross multiply
    99,845,643.90x = 140,187,009.30 × 99,845,643.90
  4. Step 4: Simplify right side
    99,845,643.90x = 13,997,062,209,973,790
  5. Step 5: Solve for x
    x = 13,997,062,209,973,790/99,845,643.90
  6. Step 6: Final answer
    x = 140,187,009.30

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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.