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Finding the Fourth Proportional to 3,165,828,048,009.20, 4,748,742,072,014.40 and 3,165,828,048,009.20

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Solution

The fourth proportional to 3,165,828,048,009.20, 4,748,742,072,014.40 and 3,165,828,048,009.20 is: 4,748,742,072,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,828,048,009.20 : 4,748,742,072,014.40 = 3,165,828,048,009.20 : x
  2. Step 2: Convert to fraction form
    3,165,828,048,009.20/4,748,742,072,014.40 = 3,165,828,048,009.20/x
  3. Step 3: Cross multiply
    3,165,828,048,009.20x = 4,748,742,072,014.40 × 3,165,828,048,009.20
  4. Step 4: Simplify right side
    3,165,828,048,009.20x = 15,033,700,844,344,513,998,618,624
  5. Step 5: Solve for x
    x = 15,033,700,844,344,513,998,618,624/3,165,828,048,009.20
  6. Step 6: Final answer
    x = 4,748,742,072,014.40

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