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Finding the Fourth Proportional to 3,930,731,698,439.70, 5,896,097,547,659.40 and 3,930,731,698,439.70

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Solution

The fourth proportional to 3,930,731,698,439.70, 5,896,097,547,659.40 and 3,930,731,698,439.70 is: 5,896,097,547,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,731,698,439.70 : 5,896,097,547,659.40 = 3,930,731,698,439.70 : x
  2. Step 2: Convert to fraction form
    3,930,731,698,439.70/5,896,097,547,659.40 = 3,930,731,698,439.70/x
  3. Step 3: Cross multiply
    3,930,731,698,439.70x = 5,896,097,547,659.40 × 3,930,731,698,439.70
  4. Step 4: Simplify right side
    3,930,731,698,439.70x = 23,175,977,527,677,386,410,164,224
  5. Step 5: Solve for x
    x = 23,175,977,527,677,386,410,164,224/3,930,731,698,439.70
  6. Step 6: Final answer
    x = 5,896,097,547,659.40

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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.