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Finding the Fourth Proportional to 211,710,348,038.46, 317,565,522,057.68 and 211,710,348,038.46

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Solution

The fourth proportional to 211,710,348,038.46, 317,565,522,057.68 and 211,710,348,038.46 is: 317,565,522,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710,348,038.46 : 317,565,522,057.68 = 211,710,348,038.46 : x
  2. Step 2: Convert to fraction form
    211,710,348,038.46/317,565,522,057.68 = 211,710,348,038.46/x
  3. Step 3: Cross multiply
    211,710,348,038.46x = 317,565,522,057.68 × 211,710,348,038.46
  4. Step 4: Simplify right side
    211,710,348,038.46x = 67,231,907,199,846,675,644,416
  5. Step 5: Solve for x
    x = 67,231,907,199,846,675,644,416/211,710,348,038.46
  6. Step 6: Final answer
    x = 317,565,522,057.68

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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.