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Finding the Fourth Proportional to 211,710,348,042.45, 317,565,522,063.68 and 211,710,348,042.45

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Solution

The fourth proportional to 211,710,348,042.45, 317,565,522,063.68 and 211,710,348,042.45 is: 317,565,522,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710,348,042.45 : 317,565,522,063.68 = 211,710,348,042.45 : x
  2. Step 2: Convert to fraction form
    211,710,348,042.45/317,565,522,063.68 = 211,710,348,042.45/x
  3. Step 3: Cross multiply
    211,710,348,042.45x = 317,565,522,063.68 × 211,710,348,042.45
  4. Step 4: Simplify right side
    211,710,348,042.45x = 67,231,907,202,384,028,237,824
  5. Step 5: Solve for x
    x = 67,231,907,202,384,028,237,824/211,710,348,042.45
  6. Step 6: Final answer
    x = 317,565,522,063.68

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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.