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Finding the Fourth Proportional to 4,165,966,014,302.20, 6,248,949,021,453.50 and 4,165,966,014,302.20

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Solution

The fourth proportional to 4,165,966,014,302.20, 6,248,949,021,453.50 and 4,165,966,014,302.20 is: 6,248,949,021,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165,966,014,302.20 : 6,248,949,021,453.50 = 4,165,966,014,302.20 : x
  2. Step 2: Convert to fraction form
    4,165,966,014,302.20/6,248,949,021,453.50 = 4,165,966,014,302.20/x
  3. Step 3: Cross multiply
    4,165,966,014,302.20x = 6,248,949,021,453.50 × 4,165,966,014,302.20
  4. Step 4: Simplify right side
    4,165,966,014,302.20x = 26,032,909,248,482,272,543,244,288
  5. Step 5: Solve for x
    x = 26,032,909,248,482,272,543,244,288/4,165,966,014,302.20
  6. Step 6: Final answer
    x = 6,248,949,021,453.50

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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.