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Finding the Fourth Proportional to 5,754,402,005.10, 8,064,325,740.90 and 5,754,402,005.10

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Solution

The fourth proportional to 5,754,402,005.10, 8,064,325,740.90 and 5,754,402,005.10 is: 8,064,325,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,402,005.10 : 8,064,325,740.90 = 5,754,402,005.10 : x
  2. Step 2: Convert to fraction form
    5,754,402,005.10/8,064,325,740.90 = 5,754,402,005.10/x
  3. Step 3: Cross multiply
    5,754,402,005.10x = 8,064,325,740.90 × 5,754,402,005.10
  4. Step 4: Simplify right side
    5,754,402,005.10x = 46,405,372,213,214,502,912
  5. Step 5: Solve for x
    x = 46,405,372,213,214,502,912/5,754,402,005.10
  6. Step 6: Final answer
    x = 8,064,325,740.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.