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Finding the Fourth Proportional to 208,657,296,043.60, 312,985,944,065.40 and 208,657,296,043.60

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Solution

The fourth proportional to 208,657,296,043.60, 312,985,944,065.40 and 208,657,296,043.60 is: 312,985,944,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,657,296,043.60 : 312,985,944,065.40 = 208,657,296,043.60 : x
  2. Step 2: Convert to fraction form
    208,657,296,043.60/312,985,944,065.40 = 208,657,296,043.60/x
  3. Step 3: Cross multiply
    208,657,296,043.60x = 312,985,944,065.40 × 208,657,296,043.60
  4. Step 4: Simplify right side
    208,657,296,043.60x = 65,306,800,788,339,804,864,512
  5. Step 5: Solve for x
    x = 65,306,800,788,339,804,864,512/208,657,296,043.60
  6. Step 6: Final answer
    x = 312,985,944,065.40

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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.