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Finding the Fourth Proportional to 514,888,979.05, 772,333,468.58 and 514,888,979.05

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Solution

The fourth proportional to 514,888,979.05, 772,333,468.58 and 514,888,979.05 is: 772,333,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,888,979.05 : 772,333,468.58 = 514,888,979.05 : x
  2. Step 2: Convert to fraction form
    514,888,979.05/772,333,468.58 = 514,888,979.05/x
  3. Step 3: Cross multiply
    514,888,979.05x = 772,333,468.58 × 514,888,979.05
  4. Step 4: Simplify right side
    514,888,979.05x = 397,665,991,123,301,504
  5. Step 5: Solve for x
    x = 397,665,991,123,301,504/514,888,979.05
  6. Step 6: Final answer
    x = 772,333,468.58

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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.