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Finding the Fourth Proportional to 434,420,005.30, 651,630,007.95 and 434,420,005.30

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Solution

The fourth proportional to 434,420,005.30, 651,630,007.95 and 434,420,005.30 is: 651,630,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,420,005.30 : 651,630,007.95 = 434,420,005.30 : x
  2. Step 2: Convert to fraction form
    434,420,005.30/651,630,007.95 = 434,420,005.30/x
  3. Step 3: Cross multiply
    434,420,005.30x = 651,630,007.95 × 434,420,005.30
  4. Step 4: Simplify right side
    434,420,005.30x = 283,081,111,507,278,080
  5. Step 5: Solve for x
    x = 283,081,111,507,278,080/434,420,005.30
  6. Step 6: Final answer
    x = 651,630,007.95

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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.