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Finding the Fourth Proportional to 299,232,021.40, 448,736,057.70 and 105,068,411.80

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Solution

The fourth proportional to 299,232,021.40, 448,736,057.70 and 105,068,411.80 is: 157,563,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232,021.40 : 448,736,057.70 = 105,068,411.80 : x
  2. Step 2: Convert to fraction form
    299,232,021.40/448,736,057.70 = 105,068,411.80/x
  3. Step 3: Cross multiply
    299,232,021.40x = 448,736,057.70 × 105,068,411.80
  4. Step 4: Simplify right side
    299,232,021.40x = 47,147,984,899,932,160
  5. Step 5: Solve for x
    x = 47,147,984,899,932,160/299,232,021.40
  6. Step 6: Final answer
    x = 157,563,300.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.