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Finding the Fourth Proportional to 2,480,346,913,346.20, 3,720,520,370,019.50 and 2,480,346,913,346.20

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Solution

The fourth proportional to 2,480,346,913,346.20, 3,720,520,370,019.50 and 2,480,346,913,346.20 is: 3,720,520,370,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480,346,913,346.20 : 3,720,520,370,019.50 = 2,480,346,913,346.20 : x
  2. Step 2: Convert to fraction form
    2,480,346,913,346.20/3,720,520,370,019.50 = 2,480,346,913,346.20/x
  3. Step 3: Cross multiply
    2,480,346,913,346.20x = 3,720,520,370,019.50 × 2,480,346,913,346.20
  4. Step 4: Simplify right side
    2,480,346,913,346.20x = 9,228,181,215,819,529,489,219,584
  5. Step 5: Solve for x
    x = 9,228,181,215,819,529,489,219,584/2,480,346,913,346.20
  6. Step 6: Final answer
    x = 3,720,520,370,019.50

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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.