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Finding the Fourth Proportional to 176,143,404.40, 264,215,106.60 and 176,143,404.40

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Solution

The fourth proportional to 176,143,404.40, 264,215,106.60 and 176,143,404.40 is: 264,215,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,143,404.40 : 264,215,106.60 = 176,143,404.40 : x
  2. Step 2: Convert to fraction form
    176,143,404.40/264,215,106.60 = 176,143,404.40/x
  3. Step 3: Cross multiply
    176,143,404.40x = 264,215,106.60 × 176,143,404.40
  4. Step 4: Simplify right side
    176,143,404.40x = 46,539,748,370,432,912
  5. Step 5: Solve for x
    x = 46,539,748,370,432,912/176,143,404.40
  6. Step 6: Final answer
    x = 264,215,106.60

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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.