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Finding the Fourth Proportional to 505,492,058.95, 758,238,088.43 and 505,492,058.95

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Solution

The fourth proportional to 505,492,058.95, 758,238,088.43 and 505,492,058.95 is: 758,238,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,492,058.95 : 758,238,088.43 = 505,492,058.95 : x
  2. Step 2: Convert to fraction form
    505,492,058.95/758,238,088.43 = 505,492,058.95/x
  3. Step 3: Cross multiply
    505,492,058.95x = 758,238,088.43 × 505,492,058.95
  4. Step 4: Simplify right side
    505,492,058.95x = 383,283,332,494,792,832
  5. Step 5: Solve for x
    x = 383,283,332,494,792,832/505,492,058.95
  6. Step 6: Final answer
    x = 758,238,088.43

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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.