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Finding the Fourth Proportional to 9,514,476,095.60, 14,271,714,143.40 and 9,514,476,095.60

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Solution

The fourth proportional to 9,514,476,095.60, 14,271,714,143.40 and 9,514,476,095.60 is: 14,271,714,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514,476,095.60 : 14,271,714,143.40 = 9,514,476,095.60 : x
  2. Step 2: Convert to fraction form
    9,514,476,095.60/14,271,714,143.40 = 9,514,476,095.60/x
  3. Step 3: Cross multiply
    9,514,476,095.60x = 14,271,714,143.40 × 9,514,476,095.60
  4. Step 4: Simplify right side
    9,514,476,095.60x = 135,787,883,060,615,725,056
  5. Step 5: Solve for x
    x = 135,787,883,060,615,725,056/9,514,476,095.60
  6. Step 6: Final answer
    x = 14,271,714,143.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.