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Finding the Fourth Proportional to 971,632,184.80, 1,457,784,200.40 and 938,039,864.80

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Solution

The fourth proportional to 971,632,184.80, 1,457,784,200.40 and 938,039,864.80 is: 1,407,384,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,632,184.80 : 1,457,784,200.40 = 938,039,864.80 : x
  2. Step 2: Convert to fraction form
    971,632,184.80/1,457,784,200.40 = 938,039,864.80/x
  3. Step 3: Cross multiply
    971,632,184.80x = 1,457,784,200.40 × 938,039,864.80
  4. Step 4: Simplify right side
    971,632,184.80x = 1,367,459,694,250,792,192
  5. Step 5: Solve for x
    x = 1,367,459,694,250,792,192/971,632,184.80
  6. Step 6: Final answer
    x = 1,407,384,106.50

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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.