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Finding the Fourth Proportional to 11,736,587,775.40, 17,604,881,663.10 and 11,736,587,775.40

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Solution

The fourth proportional to 11,736,587,775.40, 17,604,881,663.10 and 11,736,587,775.40 is: 17,604,881,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736,587,775.40 : 17,604,881,663.10 = 11,736,587,775.40 : x
  2. Step 2: Convert to fraction form
    11,736,587,775.40/17,604,881,663.10 = 11,736,587,775.40/x
  3. Step 3: Cross multiply
    11,736,587,775.40x = 17,604,881,663.10 × 11,736,587,775.40
  4. Step 4: Simplify right side
    11,736,587,775.40x = 206,621,238,914,503,049,216
  5. Step 5: Solve for x
    x = 206,621,238,914,503,049,216/11,736,587,775.40
  6. Step 6: Final answer
    x = 17,604,881,663.10

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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.