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Finding the Fourth Proportional to 222,779,221,362.11, 334,168,832,043.14 and 222,779,221,362.11

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Solution

The fourth proportional to 222,779,221,362.11, 334,168,832,043.14 and 222,779,221,362.11 is: 334,168,832,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,779,221,362.11 : 334,168,832,043.14 = 222,779,221,362.11 : x
  2. Step 2: Convert to fraction form
    222,779,221,362.11/334,168,832,043.14 = 222,779,221,362.11/x
  3. Step 3: Cross multiply
    222,779,221,362.11x = 334,168,832,043.14 × 222,779,221,362.11
  4. Step 4: Simplify right side
    222,779,221,362.11x = 74,445,872,206,056,437,841,920
  5. Step 5: Solve for x
    x = 74,445,872,206,056,437,841,920/222,779,221,362.11
  6. Step 6: Final answer
    x = 334,168,832,043.14

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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.