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Finding the Fourth Proportional to 4,712,909,977,807.10, 7,069,364,966,710.40 and 4,712,909,977,807.10

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Solution

The fourth proportional to 4,712,909,977,807.10, 7,069,364,966,710.40 and 4,712,909,977,807.10 is: 7,069,364,966,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,909,977,807.10 : 7,069,364,966,710.40 = 4,712,909,977,807.10 : x
  2. Step 2: Convert to fraction form
    4,712,909,977,807.10/7,069,364,966,710.40 = 4,712,909,977,807.10/x
  3. Step 3: Cross multiply
    4,712,909,977,807.10x = 7,069,364,966,710.40 × 4,712,909,977,807.10
  4. Step 4: Simplify right side
    4,712,909,977,807.10x = 33,317,280,688,369,400,071,323,648
  5. Step 5: Solve for x
    x = 33,317,280,688,369,400,071,323,648/4,712,909,977,807.10
  6. Step 6: Final answer
    x = 7,069,364,966,710.40

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