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Finding the Fourth Proportional to 505,506,399.30, 708,664,473.90 and 505,506,399.30

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Solution

The fourth proportional to 505,506,399.30, 708,664,473.90 and 505,506,399.30 is: 708,664,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,506,399.30 : 708,664,473.90 = 505,506,399.30 : x
  2. Step 2: Convert to fraction form
    505,506,399.30/708,664,473.90 = 505,506,399.30/x
  3. Step 3: Cross multiply
    505,506,399.30x = 708,664,473.90 × 505,506,399.30
  4. Step 4: Simplify right side
    505,506,399.30x = 358,234,426,513,017,856
  5. Step 5: Solve for x
    x = 358,234,426,513,017,856/505,506,399.30
  6. Step 6: Final answer
    x = 708,664,473.90

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