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Finding the Fourth Proportional to 977,524,803,903.60, 1,466,287,205,855.40 and 977,524,803,903.60

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Solution

The fourth proportional to 977,524,803,903.60, 1,466,287,205,855.40 and 977,524,803,903.60 is: 1,466,287,205,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,524,803,903.60 : 1,466,287,205,855.40 = 977,524,803,903.60 : x
  2. Step 2: Convert to fraction form
    977,524,803,903.60/1,466,287,205,855.40 = 977,524,803,903.60/x
  3. Step 3: Cross multiply
    977,524,803,903.60x = 1,466,287,205,855.40 × 977,524,803,903.60
  4. Step 4: Simplify right side
    977,524,803,903.60x = 1,433,332,113,370,157,210,927,104
  5. Step 5: Solve for x
    x = 1,433,332,113,370,157,210,927,104/977,524,803,903.60
  6. Step 6: Final answer
    x = 1,466,287,205,855.40

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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.