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Finding the Fourth Proportional to 1,004,077,645.70, 1,506,116,468.55 and 1,004,077,645.70

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Solution

The fourth proportional to 1,004,077,645.70, 1,506,116,468.55 and 1,004,077,645.70 is: 1,506,116,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,077,645.70 : 1,506,116,468.55 = 1,004,077,645.70 : x
  2. Step 2: Convert to fraction form
    1,004,077,645.70/1,506,116,468.55 = 1,004,077,645.70/x
  3. Step 3: Cross multiply
    1,004,077,645.70x = 1,506,116,468.55 × 1,004,077,645.70
  4. Step 4: Simplify right side
    1,004,077,645.70x = 1,512,257,877,891,682,048
  5. Step 5: Solve for x
    x = 1,512,257,877,891,682,048/1,004,077,645.70
  6. Step 6: Final answer
    x = 1,506,116,468.55

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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.