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Finding the Fourth Proportional to 1,065,724,747.20, 1,596,319,639.20 and 884,326,219.20

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Solution

The fourth proportional to 1,065,724,747.20, 1,596,319,639.20 and 884,326,219.20 is: 1,324,607,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,724,747.20 : 1,596,319,639.20 = 884,326,219.20 : x
  2. Step 2: Convert to fraction form
    1,065,724,747.20/1,596,319,639.20 = 884,326,219.20/x
  3. Step 3: Cross multiply
    1,065,724,747.20x = 1,596,319,639.20 × 884,326,219.20
  4. Step 4: Simplify right side
    1,065,724,747.20x = 1,411,667,311,168,444,160
  5. Step 5: Solve for x
    x = 1,411,667,311,168,444,160/1,065,724,747.20
  6. Step 6: Final answer
    x = 1,324,607,798.47

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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.