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Finding the Fourth Proportional to 242,555,784,595.80, 363,833,676,893.70 and 242,555,784,595.80

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Solution

The fourth proportional to 242,555,784,595.80, 363,833,676,893.70 and 242,555,784,595.80 is: 363,833,676,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,555,784,595.80 : 363,833,676,893.70 = 242,555,784,595.80 : x
  2. Step 2: Convert to fraction form
    242,555,784,595.80/363,833,676,893.70 = 242,555,784,595.80/x
  3. Step 3: Cross multiply
    242,555,784,595.80x = 363,833,676,893.70 × 242,555,784,595.80
  4. Step 4: Simplify right side
    242,555,784,595.80x = 88,249,962,961,326,185,644,032
  5. Step 5: Solve for x
    x = 88,249,962,961,326,185,644,032/242,555,784,595.80
  6. Step 6: Final answer
    x = 363,833,676,893.70

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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.