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Finding the Fourth Proportional to 46,788,016.60, 70,186,714.80 and 16,078,551.40

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Solution

The fourth proportional to 46,788,016.60, 70,186,714.80 and 16,078,551.40 is: 24,119,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,788,016.60 : 70,186,714.80 = 16,078,551.40 : x
  2. Step 2: Convert to fraction form
    46,788,016.60/70,186,714.80 = 16,078,551.40/x
  3. Step 3: Cross multiply
    46,788,016.60x = 70,186,714.80 × 16,078,551.40
  4. Step 4: Simplify right side
    46,788,016.60x = 1,128,500,701,508,940.75
  5. Step 5: Solve for x
    x = 1,128,500,701,508,940.75/46,788,016.60
  6. Step 6: Final answer
    x = 24,119,438.77

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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.