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Finding the Fourth Proportional to 4,712,909,977,908.40, 7,069,364,966,862.60 and 4,712,909,977,908.40

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Solution

The fourth proportional to 4,712,909,977,908.40, 7,069,364,966,862.60 and 4,712,909,977,908.40 is: 7,069,364,966,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,909,977,908.40 : 7,069,364,966,862.60 = 4,712,909,977,908.40 : x
  2. Step 2: Convert to fraction form
    4,712,909,977,908.40/7,069,364,966,862.60 = 4,712,909,977,908.40/x
  3. Step 3: Cross multiply
    4,712,909,977,908.40x = 7,069,364,966,862.60 × 4,712,909,977,908.40
  4. Step 4: Simplify right side
    4,712,909,977,908.40x = 33,317,280,689,802,832,521,461,760
  5. Step 5: Solve for x
    x = 33,317,280,689,802,832,521,461,760/4,712,909,977,908.40
  6. Step 6: Final answer
    x = 7,069,364,966,862.60

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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.