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Finding the Fourth Proportional to 414,462,973.60, 581,097,509.60 and 414,462,973.60

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Solution

The fourth proportional to 414,462,973.60, 581,097,509.60 and 414,462,973.60 is: 581,097,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,462,973.60 : 581,097,509.60 = 414,462,973.60 : x
  2. Step 2: Convert to fraction form
    414,462,973.60/581,097,509.60 = 414,462,973.60/x
  3. Step 3: Cross multiply
    414,462,973.60x = 581,097,509.60 × 414,462,973.60
  4. Step 4: Simplify right side
    414,462,973.60x = 240,843,401,780,370,560
  5. Step 5: Solve for x
    x = 240,843,401,780,370,560/414,462,973.60
  6. Step 6: Final answer
    x = 581,097,509.60

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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.