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Finding the Fourth Proportional to 173,840,760,025.55, 260,761,140,038.32 and 173,840,760,025.55

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Solution

The fourth proportional to 173,840,760,025.55, 260,761,140,038.32 and 173,840,760,025.55 is: 260,761,140,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,760,025.55 : 260,761,140,038.32 = 173,840,760,025.55 : x
  2. Step 2: Convert to fraction form
    173,840,760,025.55/260,761,140,038.32 = 173,840,760,025.55/x
  3. Step 3: Cross multiply
    173,840,760,025.55x = 260,761,140,038.32 × 173,840,760,025.55
  4. Step 4: Simplify right side
    173,840,760,025.55x = 45,330,914,769,390,421,409,792
  5. Step 5: Solve for x
    x = 45,330,914,769,390,421,409,792/173,840,760,025.55
  6. Step 6: Final answer
    x = 260,761,140,038.32

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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.