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Finding the Fourth Proportional to 2,566,427,004,329.50, 3,849,640,506,494.20 and 2,566,427,004,329.50

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Solution

The fourth proportional to 2,566,427,004,329.50, 3,849,640,506,494.20 and 2,566,427,004,329.50 is: 3,849,640,506,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,427,004,329.50 : 3,849,640,506,494.20 = 2,566,427,004,329.50 : x
  2. Step 2: Convert to fraction form
    2,566,427,004,329.50/3,849,640,506,494.20 = 2,566,427,004,329.50/x
  3. Step 3: Cross multiply
    2,566,427,004,329.50x = 3,849,640,506,494.20 × 2,566,427,004,329.50
  4. Step 4: Simplify right side
    2,566,427,004,329.50x = 9,879,821,352,827,408,453,992,448
  5. Step 5: Solve for x
    x = 9,879,821,352,827,408,453,992,448/2,566,427,004,329.50
  6. Step 6: Final answer
    x = 3,849,640,506,494.20

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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.