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Finding the Fourth Proportional to 5,031,837,695,769.70, 7,547,756,543,654.60 and 5,031,837,695,769.70

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Solution

The fourth proportional to 5,031,837,695,769.70, 7,547,756,543,654.60 and 5,031,837,695,769.70 is: 7,547,756,543,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031,837,695,769.70 : 7,547,756,543,654.60 = 5,031,837,695,769.70 : x
  2. Step 2: Convert to fraction form
    5,031,837,695,769.70/7,547,756,543,654.60 = 5,031,837,695,769.70/x
  3. Step 3: Cross multiply
    5,031,837,695,769.70x = 7,547,756,543,654.60 × 5,031,837,695,769.70
  4. Step 4: Simplify right side
    5,031,837,695,769.70x = 37,979,085,894,853,639,173,832,704
  5. Step 5: Solve for x
    x = 37,979,085,894,853,639,173,832,704/5,031,837,695,769.70
  6. Step 6: Final answer
    x = 7,547,756,543,654.60

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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.