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Finding the Fourth Proportional to 160,023,681.70, 220,868,206.72 and 97,286,448.80

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Solution

The fourth proportional to 160,023,681.70, 220,868,206.72 and 97,286,448.80 is: 134,276,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,023,681.70 : 220,868,206.72 = 97,286,448.80 : x
  2. Step 2: Convert to fraction form
    160,023,681.70/220,868,206.72 = 97,286,448.80/x
  3. Step 3: Cross multiply
    160,023,681.70x = 220,868,206.72 × 97,286,448.80
  4. Step 4: Simplify right side
    160,023,681.70x = 21,487,483,484,922,048
  5. Step 5: Solve for x
    x = 21,487,483,484,922,048/160,023,681.70
  6. Step 6: Final answer
    x = 134,276,897.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.