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Finding the Fourth Proportional to 55,219,068,609.40, 82,828,602,914.10 and 55,219,068,609.40

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Solution

The fourth proportional to 55,219,068,609.40, 82,828,602,914.10 and 55,219,068,609.40 is: 82,828,602,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,219,068,609.40 : 82,828,602,914.10 = 55,219,068,609.40 : x
  2. Step 2: Convert to fraction form
    55,219,068,609.40/82,828,602,914.10 = 55,219,068,609.40/x
  3. Step 3: Cross multiply
    55,219,068,609.40x = 82,828,602,914.10 × 55,219,068,609.40
  4. Step 4: Simplify right side
    55,219,068,609.40x = 4,573,718,307,134,437,326,848
  5. Step 5: Solve for x
    x = 4,573,718,307,134,437,326,848/55,219,068,609.40
  6. Step 6: Final answer
    x = 82,828,602,914.10

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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.