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Finding the Fourth Proportional to 577,120,998.60, 866,248,368.30 and 286,316,483.40

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Solution

The fourth proportional to 577,120,998.60, 866,248,368.30 and 286,316,483.40 is: 429,755,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,120,998.60 : 866,248,368.30 = 286,316,483.40 : x
  2. Step 2: Convert to fraction form
    577,120,998.60/866,248,368.30 = 286,316,483.40/x
  3. Step 3: Cross multiply
    577,120,998.60x = 866,248,368.30 × 286,316,483.40
  4. Step 4: Simplify right side
    577,120,998.60x = 248,021,186,562,644,000
  5. Step 5: Solve for x
    x = 248,021,186,562,644,000/577,120,998.60
  6. Step 6: Final answer
    x = 429,755,956.14

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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.