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Finding the Fourth Proportional to 463,575,882,665.40, 695,363,823,998.10 and 463,575,882,665.40

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Solution

The fourth proportional to 463,575,882,665.40, 695,363,823,998.10 and 463,575,882,665.40 is: 695,363,823,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575,882,665.40 : 695,363,823,998.10 = 463,575,882,665.40 : x
  2. Step 2: Convert to fraction form
    463,575,882,665.40/695,363,823,998.10 = 463,575,882,665.40/x
  3. Step 3: Cross multiply
    463,575,882,665.40x = 695,363,823,998.10 × 463,575,882,665.40
  4. Step 4: Simplify right side
    463,575,882,665.40x = 322,353,898,483,507,043,237,888
  5. Step 5: Solve for x
    x = 322,353,898,483,507,043,237,888/463,575,882,665.40
  6. Step 6: Final answer
    x = 695,363,823,998.10

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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.