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Finding the Fourth Proportional to 3,930,731,698,218.30, 5,896,097,547,327.40 and 3,930,731,698,218.30

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Solution

The fourth proportional to 3,930,731,698,218.30, 5,896,097,547,327.40 and 3,930,731,698,218.30 is: 5,896,097,547,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930,731,698,218.30 : 5,896,097,547,327.40 = 3,930,731,698,218.30 : x
  2. Step 2: Convert to fraction form
    3,930,731,698,218.30/5,896,097,547,327.40 = 3,930,731,698,218.30/x
  3. Step 3: Cross multiply
    3,930,731,698,218.30x = 5,896,097,547,327.40 × 3,930,731,698,218.30
  4. Step 4: Simplify right side
    3,930,731,698,218.30x = 23,175,977,525,066,986,892,034,048
  5. Step 5: Solve for x
    x = 23,175,977,525,066,986,892,034,048/3,930,731,698,218.30
  6. Step 6: Final answer
    x = 5,896,097,547,327.40

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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.