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Finding the Fourth Proportional to 242,712,257,666.80, 364,068,386,500.20 and 242,712,257,666.80

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Solution

The fourth proportional to 242,712,257,666.80, 364,068,386,500.20 and 242,712,257,666.80 is: 364,068,386,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,712,257,666.80 : 364,068,386,500.20 = 242,712,257,666.80 : x
  2. Step 2: Convert to fraction form
    242,712,257,666.80/364,068,386,500.20 = 242,712,257,666.80/x
  3. Step 3: Cross multiply
    242,712,257,666.80x = 364,068,386,500.20 × 242,712,257,666.80
  4. Step 4: Simplify right side
    242,712,257,666.80x = 88,363,860,032,572,669,034,496
  5. Step 5: Solve for x
    x = 88,363,860,032,572,669,034,496/242,712,257,666.80
  6. Step 6: Final answer
    x = 364,068,386,500.20

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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.