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Finding the Fourth Proportional to 4,606,291.20, 6,440,409.60 and 4,606,291.20

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Solution

The fourth proportional to 4,606,291.20, 6,440,409.60 and 4,606,291.20 is: 6,440,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606,291.20 : 6,440,409.60 = 4,606,291.20 : x
  2. Step 2: Convert to fraction form
    4,606,291.20/6,440,409.60 = 4,606,291.20/x
  3. Step 3: Cross multiply
    4,606,291.20x = 6,440,409.60 × 4,606,291.20
  4. Step 4: Simplify right side
    4,606,291.20x = 29,666,402,064,875.52
  5. Step 5: Solve for x
    x = 29,666,402,064,875.52/4,606,291.20
  6. Step 6: Final answer
    x = 6,440,409.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.