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Finding the Fourth Proportional to 2,195,852,975,999.70, 3,293,779,463,999.50 and 2,195,852,975,999.70

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Solution

The fourth proportional to 2,195,852,975,999.70, 3,293,779,463,999.50 and 2,195,852,975,999.70 is: 3,293,779,463,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195,852,975,999.70 : 3,293,779,463,999.50 = 2,195,852,975,999.70 : x
  2. Step 2: Convert to fraction form
    2,195,852,975,999.70/3,293,779,463,999.50 = 2,195,852,975,999.70/x
  3. Step 3: Cross multiply
    2,195,852,975,999.70x = 3,293,779,463,999.50 × 2,195,852,975,999.70
  4. Step 4: Simplify right side
    2,195,852,975,999.70x = 7,232,655,438,309,998,450,442,240
  5. Step 5: Solve for x
    x = 7,232,655,438,309,998,450,442,240/2,195,852,975,999.70
  6. Step 6: Final answer
    x = 3,293,779,463,999.50

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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.