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Finding the Fourth Proportional to 384,913,805.60, 577,370,708.40 and 384,913,805.60

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Solution

The fourth proportional to 384,913,805.60, 577,370,708.40 and 384,913,805.60 is: 577,370,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,913,805.60 : 577,370,708.40 = 384,913,805.60 : x
  2. Step 2: Convert to fraction form
    384,913,805.60/577,370,708.40 = 384,913,805.60/x
  3. Step 3: Cross multiply
    384,913,805.60x = 577,370,708.40 × 384,913,805.60
  4. Step 4: Simplify right side
    384,913,805.60x = 222,237,956,612,211,904
  5. Step 5: Solve for x
    x = 222,237,956,612,211,904/384,913,805.60
  6. Step 6: Final answer
    x = 577,370,708.40

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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.