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Finding the Fourth Proportional to 146,677,716,101.70, 220,016,574,152.55 and 146,677,716,101.70

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Solution

The fourth proportional to 146,677,716,101.70, 220,016,574,152.55 and 146,677,716,101.70 is: 220,016,574,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,677,716,101.70 : 220,016,574,152.55 = 146,677,716,101.70 : x
  2. Step 2: Convert to fraction form
    146,677,716,101.70/220,016,574,152.55 = 146,677,716,101.70/x
  3. Step 3: Cross multiply
    146,677,716,101.70x = 220,016,574,152.55 × 146,677,716,101.70
  4. Step 4: Simplify right side
    146,677,716,101.70x = 32,271,528,601,216,354,353,152
  5. Step 5: Solve for x
    x = 32,271,528,601,216,354,353,152/146,677,716,101.70
  6. Step 6: Final answer
    x = 220,016,574,152.55

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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.