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Finding the Fourth Proportional to 220,765,602,123.68, 331,148,403,185.52 and 220,765,602,123.68

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Solution

The fourth proportional to 220,765,602,123.68, 331,148,403,185.52 and 220,765,602,123.68 is: 331,148,403,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,765,602,123.68 : 331,148,403,185.52 = 220,765,602,123.68 : x
  2. Step 2: Convert to fraction form
    220,765,602,123.68/331,148,403,185.52 = 220,765,602,123.68/x
  3. Step 3: Cross multiply
    220,765,602,123.68x = 331,148,403,185.52 × 220,765,602,123.68
  4. Step 4: Simplify right side
    220,765,602,123.68x = 73,106,176,621,546,477,453,312
  5. Step 5: Solve for x
    x = 73,106,176,621,546,477,453,312/220,765,602,123.68
  6. Step 6: Final answer
    x = 331,148,403,185.52

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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.