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Finding the Fourth Proportional to 292,159,780,212.82, 438,239,670,319.23 and 292,159,780,212.82

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Solution

The fourth proportional to 292,159,780,212.82, 438,239,670,319.23 and 292,159,780,212.82 is: 438,239,670,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,780,212.82 : 438,239,670,319.23 = 292,159,780,212.82 : x
  2. Step 2: Convert to fraction form
    292,159,780,212.82/438,239,670,319.23 = 292,159,780,212.82/x
  3. Step 3: Cross multiply
    292,159,780,212.82x = 438,239,670,319.23 × 292,159,780,212.82
  4. Step 4: Simplify right side
    292,159,780,212.82x = 128,036,005,761,004,938,985,472
  5. Step 5: Solve for x
    x = 128,036,005,761,004,938,985,472/292,159,780,212.82
  6. Step 6: Final answer
    x = 438,239,670,319.23

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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.