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Finding the Fourth Proportional to 264,224,596,390.70, 396,336,894,586.05 and 264,224,596,390.70

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Solution

The fourth proportional to 264,224,596,390.70, 396,336,894,586.05 and 264,224,596,390.70 is: 396,336,894,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,596,390.70 : 396,336,894,586.05 = 264,224,596,390.70 : x
  2. Step 2: Convert to fraction form
    264,224,596,390.70/396,336,894,586.05 = 264,224,596,390.70/x
  3. Step 3: Cross multiply
    264,224,596,390.70x = 396,336,894,586.05 × 264,224,596,390.70
  4. Step 4: Simplify right side
    264,224,596,390.70x = 104,721,956,006,742,479,339,520
  5. Step 5: Solve for x
    x = 104,721,956,006,742,479,339,520/264,224,596,390.70
  6. Step 6: Final answer
    x = 396,336,894,586.05

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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.