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Finding the Fourth Proportional to 173,840,971,412.45, 260,761,457,118.68 and 173,840,971,412.45

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Solution

The fourth proportional to 173,840,971,412.45, 260,761,457,118.68 and 173,840,971,412.45 is: 260,761,457,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,971,412.45 : 260,761,457,118.68 = 173,840,971,412.45 : x
  2. Step 2: Convert to fraction form
    173,840,971,412.45/260,761,457,118.68 = 173,840,971,412.45/x
  3. Step 3: Cross multiply
    173,840,971,412.45x = 260,761,457,118.68 × 173,840,971,412.45
  4. Step 4: Simplify right side
    173,840,971,412.45x = 45,331,025,012,437,255,454,720
  5. Step 5: Solve for x
    x = 45,331,025,012,437,255,454,720/173,840,971,412.45
  6. Step 6: Final answer
    x = 260,761,457,118.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.