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Finding the Fourth Proportional to 211,710,348,038.70, 317,565,522,058.05 and 211,710,348,038.70

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Solution

The fourth proportional to 211,710,348,038.70, 317,565,522,058.05 and 211,710,348,038.70 is: 317,565,522,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710,348,038.70 : 317,565,522,058.05 = 211,710,348,038.70 : x
  2. Step 2: Convert to fraction form
    211,710,348,038.70/317,565,522,058.05 = 211,710,348,038.70/x
  3. Step 3: Cross multiply
    211,710,348,038.70x = 317,565,522,058.05 × 211,710,348,038.70
  4. Step 4: Simplify right side
    211,710,348,038.70x = 67,231,907,200,001,227,358,208
  5. Step 5: Solve for x
    x = 67,231,907,200,001,227,358,208/211,710,348,038.70
  6. Step 6: Final answer
    x = 317,565,522,058.05

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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.