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Finding the Fourth Proportional to 2,671,129,872,031.20, 4,006,694,808,046.90 and 2,671,129,872,031.20

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Solution

The fourth proportional to 2,671,129,872,031.20, 4,006,694,808,046.90 and 2,671,129,872,031.20 is: 4,006,694,808,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,129,872,031.20 : 4,006,694,808,046.90 = 2,671,129,872,031.20 : x
  2. Step 2: Convert to fraction form
    2,671,129,872,031.20/4,006,694,808,046.90 = 2,671,129,872,031.20/x
  3. Step 3: Cross multiply
    2,671,129,872,031.20x = 4,006,694,808,046.90 × 2,671,129,872,031.20
  4. Step 4: Simplify right side
    2,671,129,872,031.20x = 10,702,402,189,886,389,875,638,272
  5. Step 5: Solve for x
    x = 10,702,402,189,886,389,875,638,272/2,671,129,872,031.20
  6. Step 6: Final answer
    x = 4,006,694,808,046.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.