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Finding the Fourth Proportional to 51,009,980.23, 76,514,970.35 and 51,009,980.23

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Solution

The fourth proportional to 51,009,980.23, 76,514,970.35 and 51,009,980.23 is: 76,514,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009,980.23 : 76,514,970.35 = 51,009,980.23 : x
  2. Step 2: Convert to fraction form
    51,009,980.23/76,514,970.35 = 51,009,980.23/x
  3. Step 3: Cross multiply
    51,009,980.23x = 76,514,970.35 × 51,009,980.23
  4. Step 4: Simplify right side
    51,009,980.23x = 3,903,027,124,214,911.50
  5. Step 5: Solve for x
    x = 3,903,027,124,214,911.50/51,009,980.23
  6. Step 6: Final answer
    x = 76,514,970.35

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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.