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Finding the Fourth Proportional to 16,284,801.60, 22,768,862.40 and 16,284,801.60

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Solution

The fourth proportional to 16,284,801.60, 22,768,862.40 and 16,284,801.60 is: 22,768,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284,801.60 : 22,768,862.40 = 16,284,801.60 : x
  2. Step 2: Convert to fraction form
    16,284,801.60/22,768,862.40 = 16,284,801.60/x
  3. Step 3: Cross multiply
    16,284,801.60x = 22,768,862.40 × 16,284,801.60
  4. Step 4: Simplify right side
    16,284,801.60x = 370,786,406,841,699.81
  5. Step 5: Solve for x
    x = 370,786,406,841,699.81/16,284,801.60
  6. Step 6: Final answer
    x = 22,768,862.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.