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Finding the Fourth Proportional to 235,763,139,375.60, 353,644,709,063.40 and 235,763,139,375.60

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Solution

The fourth proportional to 235,763,139,375.60, 353,644,709,063.40 and 235,763,139,375.60 is: 353,644,709,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,763,139,375.60 : 353,644,709,063.40 = 235,763,139,375.60 : x
  2. Step 2: Convert to fraction form
    235,763,139,375.60/353,644,709,063.40 = 235,763,139,375.60/x
  3. Step 3: Cross multiply
    235,763,139,375.60x = 353,644,709,063.40 × 235,763,139,375.60
  4. Step 4: Simplify right side
    235,763,139,375.60x = 83,376,386,832,357,899,894,784
  5. Step 5: Solve for x
    x = 83,376,386,832,357,899,894,784/235,763,139,375.60
  6. Step 6: Final answer
    x = 353,644,709,063.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.