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Finding the Fourth Proportional to 2,011,036,896,239, 3,016,555,344,358.40 and 2,011,036,896,239

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Solution

The fourth proportional to 2,011,036,896,239, 3,016,555,344,358.40 and 2,011,036,896,239 is: 3,016,555,344,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,036,896,239 : 3,016,555,344,358.40 = 2,011,036,896,239 : x
  2. Step 2: Convert to fraction form
    2,011,036,896,239/3,016,555,344,358.40 = 2,011,036,896,239/x
  3. Step 3: Cross multiply
    2,011,036,896,239x = 3,016,555,344,358.40 × 2,011,036,896,239
  4. Step 4: Simplify right side
    2,011,036,896,239x = 6,066,404,097,051,684,490,969,088
  5. Step 5: Solve for x
    x = 6,066,404,097,051,684,490,969,088/2,011,036,896,239
  6. Step 6: Final answer
    x = 3,016,555,344,358.40

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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.