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Finding the Fourth Proportional to 463,575,864,110.40, 695,363,796,165.60 and 463,575,864,110.40

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Solution

The fourth proportional to 463,575,864,110.40, 695,363,796,165.60 and 463,575,864,110.40 is: 695,363,796,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575,864,110.40 : 695,363,796,165.60 = 463,575,864,110.40 : x
  2. Step 2: Convert to fraction form
    463,575,864,110.40/695,363,796,165.60 = 463,575,864,110.40/x
  3. Step 3: Cross multiply
    463,575,864,110.40x = 695,363,796,165.60 × 463,575,864,110.40
  4. Step 4: Simplify right side
    463,575,864,110.40x = 322,353,872,678,556,073,459,712
  5. Step 5: Solve for x
    x = 322,353,872,678,556,073,459,712/463,575,864,110.40
  6. Step 6: Final answer
    x = 695,363,796,165.60

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