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Finding the Fourth Proportional to 137,640,343,574.77, 206,460,515,362.16 and 137,640,343,574.77

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Solution

The fourth proportional to 137,640,343,574.77, 206,460,515,362.16 and 137,640,343,574.77 is: 206,460,515,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,343,574.77 : 206,460,515,362.16 = 137,640,343,574.77 : x
  2. Step 2: Convert to fraction form
    137,640,343,574.77/206,460,515,362.16 = 137,640,343,574.77/x
  3. Step 3: Cross multiply
    137,640,343,574.77x = 206,460,515,362.16 × 137,640,343,574.77
  4. Step 4: Simplify right side
    137,640,343,574.77x = 28,417,296,269,071,779,627,008
  5. Step 5: Solve for x
    x = 28,417,296,269,071,779,627,008/137,640,343,574.77
  6. Step 6: Final answer
    x = 206,460,515,362.16

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1.5x scale

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.