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Finding the Fourth Proportional to 4,712,909,977,806.60, 7,069,364,966,710.20 and 4,712,909,977,806.60

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Solution

The fourth proportional to 4,712,909,977,806.60, 7,069,364,966,710.20 and 4,712,909,977,806.60 is: 7,069,364,966,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,909,977,806.60 : 7,069,364,966,710.20 = 4,712,909,977,806.60 : x
  2. Step 2: Convert to fraction form
    4,712,909,977,806.60/7,069,364,966,710.20 = 4,712,909,977,806.60/x
  3. Step 3: Cross multiply
    4,712,909,977,806.60x = 7,069,364,966,710.20 × 4,712,909,977,806.60
  4. Step 4: Simplify right side
    4,712,909,977,806.60x = 33,317,280,688,364,920,420,433,920
  5. Step 5: Solve for x
    x = 33,317,280,688,364,920,420,433,920/4,712,909,977,806.60
  6. Step 6: Final answer
    x = 7,069,364,966,710.20

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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.