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Finding the Fourth Proportional to 3,165,828,048,015.70, 4,748,742,072,024.20 and 3,165,828,048,015.70

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Solution

The fourth proportional to 3,165,828,048,015.70, 4,748,742,072,024.20 and 3,165,828,048,015.70 is: 4,748,742,072,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,828,048,015.70 : 4,748,742,072,024.20 = 3,165,828,048,015.70 : x
  2. Step 2: Convert to fraction form
    3,165,828,048,015.70/4,748,742,072,024.20 = 3,165,828,048,015.70/x
  3. Step 3: Cross multiply
    3,165,828,048,015.70x = 4,748,742,072,024.20 × 3,165,828,048,015.70
  4. Step 4: Simplify right side
    3,165,828,048,015.70x = 15,033,700,844,406,404,477,353,984
  5. Step 5: Solve for x
    x = 15,033,700,844,406,404,477,353,984/3,165,828,048,015.70
  6. Step 6: Final answer
    x = 4,748,742,072,024.20

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