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Finding the Fourth Proportional to 598,758,434.80, 898,137,652.20 and 524,706,031.60

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Solution

The fourth proportional to 598,758,434.80, 898,137,652.20 and 524,706,031.60 is: 787,059,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,758,434.80 : 898,137,652.20 = 524,706,031.60 : x
  2. Step 2: Convert to fraction form
    598,758,434.80/898,137,652.20 = 524,706,031.60/x
  3. Step 3: Cross multiply
    598,758,434.80x = 898,137,652.20 × 524,706,031.60
  4. Step 4: Simplify right side
    598,758,434.80x = 471,258,243,316,403,072
  5. Step 5: Solve for x
    x = 471,258,243,316,403,072/598,758,434.80
  6. Step 6: Final answer
    x = 787,059,047.40

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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.