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Finding the Fourth Proportional to 21,984,607,477.30, 32,976,911,215.95 and 21,984,607,477.30

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Solution

The fourth proportional to 21,984,607,477.30, 32,976,911,215.95 and 21,984,607,477.30 is: 32,976,911,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984,607,477.30 : 32,976,911,215.95 = 21,984,607,477.30 : x
  2. Step 2: Convert to fraction form
    21,984,607,477.30/32,976,911,215.95 = 21,984,607,477.30/x
  3. Step 3: Cross multiply
    21,984,607,477.30x = 32,976,911,215.95 × 21,984,607,477.30
  4. Step 4: Simplify right side
    21,984,607,477.30x = 724,984,448,896,432,603,136
  5. Step 5: Solve for x
    x = 724,984,448,896,432,603,136/21,984,607,477.30
  6. Step 6: Final answer
    x = 32,976,911,215.95

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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.