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Finding the Fourth Proportional to 6,495,219, 9,742,868.82 and 1,702,865.16

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Solution

The fourth proportional to 6,495,219, 9,742,868.82 and 1,702,865.16 is: 2,554,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495,219 : 9,742,868.82 = 1,702,865.16 : x
  2. Step 2: Convert to fraction form
    6,495,219/9,742,868.82 = 1,702,865.16/x
  3. Step 3: Cross multiply
    6,495,219x = 9,742,868.82 × 1,702,865.16
  4. Step 4: Simplify right side
    6,495,219x = 16,590,791,872,028.31
  5. Step 5: Solve for x
    x = 16,590,791,872,028.31/6,495,219
  6. Step 6: Final answer
    x = 2,554,308.31

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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.