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Finding the Fourth Proportional to 176,377,176,000.10, 264,565,764,000.15 and 176,377,176,000.10

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Solution

The fourth proportional to 176,377,176,000.10, 264,565,764,000.15 and 176,377,176,000.10 is: 264,565,764,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,377,176,000.10 : 264,565,764,000.15 = 176,377,176,000.10 : x
  2. Step 2: Convert to fraction form
    176,377,176,000.10/264,565,764,000.15 = 176,377,176,000.10/x
  3. Step 3: Cross multiply
    176,377,176,000.10x = 264,565,764,000.15 × 176,377,176,000.10
  4. Step 4: Simplify right side
    176,377,176,000.10x = 46,663,362,320,655,380,905,984
  5. Step 5: Solve for x
    x = 46,663,362,320,655,380,905,984/176,377,176,000.10
  6. Step 6: Final answer
    x = 264,565,764,000.15

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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.