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Finding the Fourth Proportional to 280,512,006.10, 420,768,009.15 and 280,512,006.10

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Solution

The fourth proportional to 280,512,006.10, 420,768,009.15 and 280,512,006.10 is: 420,768,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512,006.10 : 420,768,009.15 = 280,512,006.10 : x
  2. Step 2: Convert to fraction form
    280,512,006.10/420,768,009.15 = 280,512,006.10/x
  3. Step 3: Cross multiply
    280,512,006.10x = 420,768,009.15 × 280,512,006.10
  4. Step 4: Simplify right side
    280,512,006.10x = 118,030,478,349,369,664
  5. Step 5: Solve for x
    x = 118,030,478,349,369,664/280,512,006.10
  6. Step 6: Final answer
    x = 420,768,009.15

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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.