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Finding the Fourth Proportional to 105,765,264,139.60, 158,647,896,209.40 and 105,765,264,139.60

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Solution

The fourth proportional to 105,765,264,139.60, 158,647,896,209.40 and 105,765,264,139.60 is: 158,647,896,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,765,264,139.60 : 158,647,896,209.40 = 105,765,264,139.60 : x
  2. Step 2: Convert to fraction form
    105,765,264,139.60/158,647,896,209.40 = 105,765,264,139.60/x
  3. Step 3: Cross multiply
    105,765,264,139.60x = 158,647,896,209.40 × 105,765,264,139.60
  4. Step 4: Simplify right side
    105,765,264,139.60x = 16,779,436,647,779,036,823,552
  5. Step 5: Solve for x
    x = 16,779,436,647,779,036,823,552/105,765,264,139.60
  6. Step 6: Final answer
    x = 158,647,896,209.40

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1.5x scale

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.