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Finding the Fourth Proportional to 484,047,526.40, 726,137,644.80 and 160,897,702.40

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Solution

The fourth proportional to 484,047,526.40, 726,137,644.80 and 160,897,702.40 is: 241,368,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,047,526.40 : 726,137,644.80 = 160,897,702.40 : x
  2. Step 2: Convert to fraction form
    484,047,526.40/726,137,644.80 = 160,897,702.40/x
  3. Step 3: Cross multiply
    484,047,526.40x = 726,137,644.80 × 160,897,702.40
  4. Step 4: Simplify right side
    484,047,526.40x = 116,833,878,674,467,312
  5. Step 5: Solve for x
    x = 116,833,878,674,467,312/484,047,526.40
  6. Step 6: Final answer
    x = 241,368,610.11

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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.