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Finding the Fourth Proportional to 272,967,802.60, 409,451,703.90 and 224,500,383.40

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Solution

The fourth proportional to 272,967,802.60, 409,451,703.90 and 224,500,383.40 is: 336,750,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,967,802.60 : 409,451,703.90 = 224,500,383.40 : x
  2. Step 2: Convert to fraction form
    272,967,802.60/409,451,703.90 = 224,500,383.40/x
  3. Step 3: Cross multiply
    272,967,802.60x = 409,451,703.90 × 224,500,383.40
  4. Step 4: Simplify right side
    272,967,802.60x = 91,922,064,509,333,280
  5. Step 5: Solve for x
    x = 91,922,064,509,333,280/272,967,802.60
  6. Step 6: Final answer
    x = 336,750,575.10

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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.