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Finding the Fourth Proportional to 153,227,173,669.05, 229,840,760,503.57 and 153,227,173,669.05

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Solution

The fourth proportional to 153,227,173,669.05, 229,840,760,503.57 and 153,227,173,669.05 is: 229,840,760,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,227,173,669.05 : 229,840,760,503.57 = 153,227,173,669.05 : x
  2. Step 2: Convert to fraction form
    153,227,173,669.05/229,840,760,503.57 = 153,227,173,669.05/x
  3. Step 3: Cross multiply
    153,227,173,669.05x = 229,840,760,503.57 × 153,227,173,669.05
  4. Step 4: Simplify right side
    153,227,173,669.05x = 35,217,850,125,907,046,432,768
  5. Step 5: Solve for x
    x = 35,217,850,125,907,046,432,768/153,227,173,669.05
  6. Step 6: Final answer
    x = 229,840,760,503.57

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1.5x scale

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.