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Finding the Fourth Proportional to 146,677,771,805.15, 220,016,657,707.72 and 146,677,771,805.15

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Solution

The fourth proportional to 146,677,771,805.15, 220,016,657,707.72 and 146,677,771,805.15 is: 220,016,657,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,677,771,805.15 : 220,016,657,707.72 = 146,677,771,805.15 : x
  2. Step 2: Convert to fraction form
    146,677,771,805.15/220,016,657,707.72 = 146,677,771,805.15/x
  3. Step 3: Cross multiply
    146,677,771,805.15x = 220,016,657,707.72 × 146,677,771,805.15
  4. Step 4: Simplify right side
    146,677,771,805.15x = 32,271,553,112,584,751,153,152
  5. Step 5: Solve for x
    x = 32,271,553,112,584,751,153,152/146,677,771,805.15
  6. Step 6: Final answer
    x = 220,016,657,707.72

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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.