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Finding the Fourth Proportional to 307,789,712,838.40, 460,949,905,219.20 and 307,789,712,838.40

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Solution

The fourth proportional to 307,789,712,838.40, 460,949,905,219.20 and 307,789,712,838.40 is: 460,949,905,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,712,838.40 : 460,949,905,219.20 = 307,789,712,838.40 : x
  2. Step 2: Convert to fraction form
    307,789,712,838.40/460,949,905,219.20 = 307,789,712,838.40/x
  3. Step 3: Cross multiply
    307,789,712,838.40x = 460,949,905,219.20 × 307,789,712,838.40
  4. Step 4: Simplify right side
    307,789,712,838.40x = 141,875,638,960,305,284,841,472
  5. Step 5: Solve for x
    x = 141,875,638,960,305,284,841,472/307,789,712,838.40
  6. Step 6: Final answer
    x = 460,949,905,219.20

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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.