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Finding the Fourth Proportional to 2,820,407,415.30, 3,952,651,848.30 and 2,820,407,415.30

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Solution

The fourth proportional to 2,820,407,415.30, 3,952,651,848.30 and 2,820,407,415.30 is: 3,952,651,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820,407,415.30 : 3,952,651,848.30 = 2,820,407,415.30 : x
  2. Step 2: Convert to fraction form
    2,820,407,415.30/3,952,651,848.30 = 2,820,407,415.30/x
  3. Step 3: Cross multiply
    2,820,407,415.30x = 3,952,651,848.30 × 2,820,407,415.30
  4. Step 4: Simplify right side
    2,820,407,415.30x = 11,148,088,583,044,571,136
  5. Step 5: Solve for x
    x = 11,148,088,583,044,571,136/2,820,407,415.30
  6. Step 6: Final answer
    x = 3,952,651,848.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.