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Finding the Fourth Proportional to 196,101,787,060.80, 293,687,776,004.40 and 196,101,787,060.80

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Solution

The fourth proportional to 196,101,787,060.80, 293,687,776,004.40 and 196,101,787,060.80 is: 293,687,776,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,101,787,060.80 : 293,687,776,004.40 = 196,101,787,060.80 : x
  2. Step 2: Convert to fraction form
    196,101,787,060.80/293,687,776,004.40 = 196,101,787,060.80/x
  3. Step 3: Cross multiply
    196,101,787,060.80x = 293,687,776,004.40 × 196,101,787,060.80
  4. Step 4: Simplify right side
    196,101,787,060.80x = 57,592,697,712,374,779,478,016
  5. Step 5: Solve for x
    x = 57,592,697,712,374,779,478,016/196,101,787,060.80
  6. Step 6: Final answer
    x = 293,687,776,004.40

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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.