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Finding the Fourth Proportional to 129,406,535,999.80, 194,109,803,999.70 and 129,406,535,999.80

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Solution

The fourth proportional to 129,406,535,999.80, 194,109,803,999.70 and 129,406,535,999.80 is: 194,109,803,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,406,535,999.80 : 194,109,803,999.70 = 129,406,535,999.80 : x
  2. Step 2: Convert to fraction form
    129,406,535,999.80/194,109,803,999.70 = 129,406,535,999.80/x
  3. Step 3: Cross multiply
    129,406,535,999.80x = 194,109,803,999.70 × 129,406,535,999.80
  4. Step 4: Simplify right side
    129,406,535,999.80x = 25,119,077,339,201,303,216,128
  5. Step 5: Solve for x
    x = 25,119,077,339,201,303,216,128/129,406,535,999.80
  6. Step 6: Final answer
    x = 194,109,803,999.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.