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Finding the Fourth Proportional to 553,749,829.10, 830,624,743.65 and 553,749,829.10

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Solution

The fourth proportional to 553,749,829.10, 830,624,743.65 and 553,749,829.10 is: 830,624,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,749,829.10 : 830,624,743.65 = 553,749,829.10 : x
  2. Step 2: Convert to fraction form
    553,749,829.10/830,624,743.65 = 553,749,829.10/x
  3. Step 3: Cross multiply
    553,749,829.10x = 830,624,743.65 × 553,749,829.10
  4. Step 4: Simplify right side
    553,749,829.10x = 459,958,309,842,418,816
  5. Step 5: Solve for x
    x = 459,958,309,842,418,816/553,749,829.10
  6. Step 6: Final answer
    x = 830,624,743.65

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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.