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Finding the Fourth Proportional to 46,655,999.40, 69,983,999.10 and 46,655,999.40

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Solution

The fourth proportional to 46,655,999.40, 69,983,999.10 and 46,655,999.40 is: 69,983,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,655,999.40 : 69,983,999.10 = 46,655,999.40 : x
  2. Step 2: Convert to fraction form
    46,655,999.40/69,983,999.10 = 46,655,999.40/x
  3. Step 3: Cross multiply
    46,655,999.40x = 69,983,999.10 × 46,655,999.40
  4. Step 4: Simplify right side
    46,655,999.40x = 3,265,173,420,019,200
  5. Step 5: Solve for x
    x = 3,265,173,420,019,200/46,655,999.40
  6. Step 6: Final answer
    x = 69,983,999.10

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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.