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Finding the Fourth Proportional to 279,656,064,266.90, 419,484,096,400.34 and 279,656,064,266.90

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Solution

The fourth proportional to 279,656,064,266.90, 419,484,096,400.34 and 279,656,064,266.90 is: 419,484,096,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,656,064,266.90 : 419,484,096,400.34 = 279,656,064,266.90 : x
  2. Step 2: Convert to fraction form
    279,656,064,266.90/419,484,096,400.34 = 279,656,064,266.90/x
  3. Step 3: Cross multiply
    279,656,064,266.90x = 419,484,096,400.34 × 279,656,064,266.90
  4. Step 4: Simplify right side
    279,656,064,266.90x = 117,311,271,421,875,968,802,816
  5. Step 5: Solve for x
    x = 117,311,271,421,875,968,802,816/279,656,064,266.90
  6. Step 6: Final answer
    x = 419,484,096,400.34

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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.