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Finding the Fourth Proportional to 992,573,998.80, 1,488,916,985.40 and 302,503,765.20

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Solution

The fourth proportional to 992,573,998.80, 1,488,916,985.40 and 302,503,765.20 is: 453,772,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,573,998.80 : 1,488,916,985.40 = 302,503,765.20 : x
  2. Step 2: Convert to fraction form
    992,573,998.80/1,488,916,985.40 = 302,503,765.20/x
  3. Step 3: Cross multiply
    992,573,998.80x = 1,488,916,985.40 × 302,503,765.20
  4. Step 4: Simplify right side
    992,573,998.80x = 450,402,994,153,733,440
  5. Step 5: Solve for x
    x = 450,402,994,153,733,440/992,573,998.80
  6. Step 6: Final answer
    x = 453,772,710.85

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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.