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Finding the Fourth Proportional to 51,205,165,673.37, 76,807,748,510.05 and 51,205,165,673.37

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Solution

The fourth proportional to 51,205,165,673.37, 76,807,748,510.05 and 51,205,165,673.37 is: 76,807,748,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205,165,673.37 : 76,807,748,510.05 = 51,205,165,673.37 : x
  2. Step 2: Convert to fraction form
    51,205,165,673.37/76,807,748,510.05 = 51,205,165,673.37/x
  3. Step 3: Cross multiply
    51,205,165,673.37x = 76,807,748,510.05 × 51,205,165,673.37
  4. Step 4: Simplify right side
    51,205,165,673.37x = 3,932,953,487,455,264,178,176
  5. Step 5: Solve for x
    x = 3,932,953,487,455,264,178,176/51,205,165,673.37
  6. Step 6: Final answer
    x = 76,807,748,510.05

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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.