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Finding the Fourth Proportional to 547,353,624, 754,742,721.60 and 348,800,592

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Solution

The fourth proportional to 547,353,624, 754,742,721.60 and 348,800,592 is: 480,959,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,353,624 : 754,742,721.60 = 348,800,592 : x
  2. Step 2: Convert to fraction form
    547,353,624/754,742,721.60 = 348,800,592/x
  3. Step 3: Cross multiply
    547,353,624x = 754,742,721.60 × 348,800,592
  4. Step 4: Simplify right side
    547,353,624x = 263,254,708,101,771,200
  5. Step 5: Solve for x
    x = 263,254,708,101,771,200/547,353,624
  6. Step 6: Final answer
    x = 480,959,103.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.