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Finding the Fourth Proportional to 505,492,051.95, 758,238,077.93 and 505,492,051.95

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Solution

The fourth proportional to 505,492,051.95, 758,238,077.93 and 505,492,051.95 is: 758,238,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,492,051.95 : 758,238,077.93 = 505,492,051.95 : x
  2. Step 2: Convert to fraction form
    505,492,051.95/758,238,077.93 = 505,492,051.95/x
  3. Step 3: Cross multiply
    505,492,051.95x = 758,238,077.93 × 505,492,051.95
  4. Step 4: Simplify right side
    505,492,051.95x = 383,283,321,876,932,224
  5. Step 5: Solve for x
    x = 383,283,321,876,932,224/505,492,051.95
  6. Step 6: Final answer
    x = 758,238,077.93

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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.