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Finding the Fourth Proportional to 340,233,200.70, 510,349,801.05 and 340,233,200.70

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Solution

The fourth proportional to 340,233,200.70, 510,349,801.05 and 340,233,200.70 is: 510,349,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,233,200.70 : 510,349,801.05 = 340,233,200.70 : x
  2. Step 2: Convert to fraction form
    340,233,200.70/510,349,801.05 = 340,233,200.70/x
  3. Step 3: Cross multiply
    340,233,200.70x = 510,349,801.05 × 340,233,200.70
  4. Step 4: Simplify right side
    340,233,200.70x = 173,637,946,287,849,728
  5. Step 5: Solve for x
    x = 173,637,946,287,849,728/340,233,200.70
  6. Step 6: Final answer
    x = 510,349,801.05

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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.