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Finding the Fourth Proportional to 55,286,598.60, 82,929,897.90 and 55,286,598.60

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Solution

The fourth proportional to 55,286,598.60, 82,929,897.90 and 55,286,598.60 is: 82,929,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286,598.60 : 82,929,897.90 = 55,286,598.60 : x
  2. Step 2: Convert to fraction form
    55,286,598.60/82,929,897.90 = 55,286,598.60/x
  3. Step 3: Cross multiply
    55,286,598.60x = 82,929,897.90 × 55,286,598.60
  4. Step 4: Simplify right side
    55,286,598.60x = 4,584,911,977,136,283
  5. Step 5: Solve for x
    x = 4,584,911,977,136,283/55,286,598.60
  6. Step 6: Final answer
    x = 82,929,897.90

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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.