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Finding the Fourth Proportional to 70,657,064.20, 105,836,297.10 and 70,657,064.20

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Solution

The fourth proportional to 70,657,064.20, 105,836,297.10 and 70,657,064.20 is: 105,836,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657,064.20 : 105,836,297.10 = 70,657,064.20 : x
  2. Step 2: Convert to fraction form
    70,657,064.20/105,836,297.10 = 70,657,064.20/x
  3. Step 3: Cross multiply
    70,657,064.20x = 105,836,297.10 × 70,657,064.20
  4. Step 4: Simplify right side
    70,657,064.20x = 7,478,082,038,884,974
  5. Step 5: Solve for x
    x = 7,478,082,038,884,974/70,657,064.20
  6. Step 6: Final answer
    x = 105,836,297.10

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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.