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Finding the Fourth Proportional to 343,277,569,734.40, 514,916,354,601.60 and 343,277,569,734.40

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Solution

The fourth proportional to 343,277,569,734.40, 514,916,354,601.60 and 343,277,569,734.40 is: 514,916,354,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,277,569,734.40 : 514,916,354,601.60 = 343,277,569,734.40 : x
  2. Step 2: Convert to fraction form
    343,277,569,734.40/514,916,354,601.60 = 343,277,569,734.40/x
  3. Step 3: Cross multiply
    343,277,569,734.40x = 514,916,354,601.60 × 343,277,569,734.40
  4. Step 4: Simplify right side
    343,277,569,734.40x = 176,759,234,824,133,777,817,600
  5. Step 5: Solve for x
    x = 176,759,234,824,133,777,817,600/343,277,569,734.40
  6. Step 6: Final answer
    x = 514,916,354,601.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.