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Finding the Fourth Proportional to 294,976,365.20, 442,464,547.80 and 294,976,365.20

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Solution

The fourth proportional to 294,976,365.20, 442,464,547.80 and 294,976,365.20 is: 442,464,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,976,365.20 : 442,464,547.80 = 294,976,365.20 : x
  2. Step 2: Convert to fraction form
    294,976,365.20/442,464,547.80 = 294,976,365.20/x
  3. Step 3: Cross multiply
    294,976,365.20x = 442,464,547.80 × 294,976,365.20
  4. Step 4: Simplify right side
    294,976,365.20x = 130,516,584,039,905,648
  5. Step 5: Solve for x
    x = 130,516,584,039,905,648/294,976,365.20
  6. Step 6: Final answer
    x = 442,464,547.80

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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.