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Finding the Fourth Proportional to 402,816,063.60, 604,472,927.40 and 160,453,695.60

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Solution

The fourth proportional to 402,816,063.60, 604,472,927.40 and 160,453,695.60 is: 240,779,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,816,063.60 : 604,472,927.40 = 160,453,695.60 : x
  2. Step 2: Convert to fraction form
    402,816,063.60/604,472,927.40 = 160,453,695.60/x
  3. Step 3: Cross multiply
    402,816,063.60x = 604,472,927.40 × 160,453,695.60
  4. Step 4: Simplify right side
    402,816,063.60x = 96,989,915,091,480,496
  5. Step 5: Solve for x
    x = 96,989,915,091,480,496/402,816,063.60
  6. Step 6: Final answer
    x = 240,779,660.63

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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.