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Finding the Fourth Proportional to 307,789,712,819.40, 460,949,905,190.70 and 307,789,712,819.40

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Solution

The fourth proportional to 307,789,712,819.40, 460,949,905,190.70 and 307,789,712,819.40 is: 460,949,905,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,712,819.40 : 460,949,905,190.70 = 307,789,712,819.40 : x
  2. Step 2: Convert to fraction form
    307,789,712,819.40/460,949,905,190.70 = 307,789,712,819.40/x
  3. Step 3: Cross multiply
    307,789,712,819.40x = 460,949,905,190.70 × 307,789,712,819.40
  4. Step 4: Simplify right side
    307,789,712,819.40x = 141,875,638,942,775,224,827,904
  5. Step 5: Solve for x
    x = 141,875,638,942,775,224,827,904/307,789,712,819.40
  6. Step 6: Final answer
    x = 460,949,905,190.70

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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.