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Finding the Fourth Proportional to 313,955,411.48, 470,938,111.33 and 174,780,471.90

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Solution

The fourth proportional to 313,955,411.48, 470,938,111.33 and 174,780,471.90 is: 262,173,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,955,411.48 : 470,938,111.33 = 174,780,471.90 : x
  2. Step 2: Convert to fraction form
    313,955,411.48/470,938,111.33 = 174,780,471.90/x
  3. Step 3: Cross multiply
    313,955,411.48x = 470,938,111.33 × 174,780,471.90
  4. Step 4: Simplify right side
    313,955,411.48x = 82,310,785,336,102,672
  5. Step 5: Solve for x
    x = 82,310,785,336,102,672/313,955,411.48
  6. Step 6: Final answer
    x = 262,173,488.10

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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.