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Finding the Fourth Proportional to 100,910,319.30, 141,370,106.40 and 100,910,319.30

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Solution

The fourth proportional to 100,910,319.30, 141,370,106.40 and 100,910,319.30 is: 141,370,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,910,319.30 : 141,370,106.40 = 100,910,319.30 : x
  2. Step 2: Convert to fraction form
    100,910,319.30/141,370,106.40 = 100,910,319.30/x
  3. Step 3: Cross multiply
    100,910,319.30x = 141,370,106.40 × 100,910,319.30
  4. Step 4: Simplify right side
    100,910,319.30x = 14,265,702,576,298,974
  5. Step 5: Solve for x
    x = 14,265,702,576,298,974/100,910,319.30
  6. Step 6: Final answer
    x = 141,370,106.40

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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.