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Finding the Fourth Proportional to 19,666,077,959.40, 29,499,116,939.10 and 19,666,077,959.40

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Solution

The fourth proportional to 19,666,077,959.40, 29,499,116,939.10 and 19,666,077,959.40 is: 29,499,116,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666,077,959.40 : 29,499,116,939.10 = 19,666,077,959.40 : x
  2. Step 2: Convert to fraction form
    19,666,077,959.40/29,499,116,939.10 = 19,666,077,959.40/x
  3. Step 3: Cross multiply
    19,666,077,959.40x = 29,499,116,939.10 × 19,666,077,959.40
  4. Step 4: Simplify right side
    19,666,077,959.40x = 580,131,933,457,797,742,592
  5. Step 5: Solve for x
    x = 580,131,933,457,797,742,592/19,666,077,959.40
  6. Step 6: Final answer
    x = 29,499,116,939.10

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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.