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Finding the Fourth Proportional to 307,789,712,820.90, 460,949,905,192.95 and 307,789,712,820.90

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Solution

The fourth proportional to 307,789,712,820.90, 460,949,905,192.95 and 307,789,712,820.90 is: 460,949,905,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,712,820.90 : 460,949,905,192.95 = 307,789,712,820.90 : x
  2. Step 2: Convert to fraction form
    307,789,712,820.90/460,949,905,192.95 = 307,789,712,820.90/x
  3. Step 3: Cross multiply
    307,789,712,820.90x = 460,949,905,192.95 × 307,789,712,820.90
  4. Step 4: Simplify right side
    307,789,712,820.90x = 141,875,638,944,159,177,375,744
  5. Step 5: Solve for x
    x = 141,875,638,944,159,177,375,744/307,789,712,820.90
  6. Step 6: Final answer
    x = 460,949,905,192.95

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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.