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Finding the Fourth Proportional to 176,149,730,859.30, 264,224,596,288.96 and 176,149,730,859.30

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Solution

The fourth proportional to 176,149,730,859.30, 264,224,596,288.96 and 176,149,730,859.30 is: 264,224,596,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,730,859.30 : 264,224,596,288.96 = 176,149,730,859.30 : x
  2. Step 2: Convert to fraction form
    176,149,730,859.30/264,224,596,288.96 = 176,149,730,859.30/x
  3. Step 3: Cross multiply
    176,149,730,859.30x = 264,224,596,288.96 × 176,149,730,859.30
  4. Step 4: Simplify right side
    176,149,730,859.30x = 46,543,091,522,707,495,321,600
  5. Step 5: Solve for x
    x = 46,543,091,522,707,495,321,600/176,149,730,859.30
  6. Step 6: Final answer
    x = 264,224,596,288.96

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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.