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Finding the Fourth Proportional to 105,817,233,047.70, 158,725,849,571.55 and 105,817,233,047.70

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Solution

The fourth proportional to 105,817,233,047.70, 158,725,849,571.55 and 105,817,233,047.70 is: 158,725,849,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817,233,047.70 : 158,725,849,571.55 = 105,817,233,047.70 : x
  2. Step 2: Convert to fraction form
    105,817,233,047.70/158,725,849,571.55 = 105,817,233,047.70/x
  3. Step 3: Cross multiply
    105,817,233,047.70x = 158,725,849,571.55 × 105,817,233,047.70
  4. Step 4: Simplify right side
    105,817,233,047.70x = 16,795,930,214,806,876,848,128
  5. Step 5: Solve for x
    x = 16,795,930,214,806,876,848,128/105,817,233,047.70
  6. Step 6: Final answer
    x = 158,725,849,571.55

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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.