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Finding the Fourth Proportional to 977,257,978.80, 1,465,886,968.20 and 589,518,625.20

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Solution

The fourth proportional to 977,257,978.80, 1,465,886,968.20 and 589,518,625.20 is: 884,277,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,257,978.80 : 1,465,886,968.20 = 589,518,625.20 : x
  2. Step 2: Convert to fraction form
    977,257,978.80/1,465,886,968.20 = 589,518,625.20/x
  3. Step 3: Cross multiply
    977,257,978.80x = 1,465,886,968.20 × 589,518,625.20
  4. Step 4: Simplify right side
    977,257,978.80x = 864,167,670,191,860,224
  5. Step 5: Solve for x
    x = 864,167,670,191,860,224/977,257,978.80
  6. Step 6: Final answer
    x = 884,277,937.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.