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Finding the Fourth Proportional to 146,677,771,812.15, 220,016,657,718.23 and 146,677,771,812.15

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Solution

The fourth proportional to 146,677,771,812.15, 220,016,657,718.23 and 146,677,771,812.15 is: 220,016,657,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,677,771,812.15 : 220,016,657,718.23 = 146,677,771,812.15 : x
  2. Step 2: Convert to fraction form
    146,677,771,812.15/220,016,657,718.23 = 146,677,771,812.15/x
  3. Step 3: Cross multiply
    146,677,771,812.15x = 220,016,657,718.23 × 146,677,771,812.15
  4. Step 4: Simplify right side
    146,677,771,812.15x = 32,271,553,115,666,453,102,592
  5. Step 5: Solve for x
    x = 32,271,553,115,666,453,102,592/146,677,771,812.15
  6. Step 6: Final answer
    x = 220,016,657,718.23

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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.