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Finding the Fourth Proportional to 222,779,185,658.70, 334,168,778,488.06 and 222,779,185,658.70

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Solution

The fourth proportional to 222,779,185,658.70, 334,168,778,488.06 and 222,779,185,658.70 is: 334,168,778,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,779,185,658.70 : 334,168,778,488.06 = 222,779,185,658.70 : x
  2. Step 2: Convert to fraction form
    222,779,185,658.70/334,168,778,488.06 = 222,779,185,658.70/x
  3. Step 3: Cross multiply
    222,779,185,658.70x = 334,168,778,488.06 × 222,779,185,658.70
  4. Step 4: Simplify right side
    222,779,185,658.70x = 74,445,848,344,132,516,315,136
  5. Step 5: Solve for x
    x = 74,445,848,344,132,516,315,136/222,779,185,658.70
  6. Step 6: Final answer
    x = 334,168,778,488.06

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Why These Related Problems?

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