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Finding the Fourth Proportional to 397,602,407.80, 596,403,611.70 and 106,514,457.40

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Solution

The fourth proportional to 397,602,407.80, 596,403,611.70 and 106,514,457.40 is: 159,771,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,602,407.80 : 596,403,611.70 = 106,514,457.40 : x
  2. Step 2: Convert to fraction form
    397,602,407.80/596,403,611.70 = 106,514,457.40/x
  3. Step 3: Cross multiply
    397,602,407.80x = 596,403,611.70 × 106,514,457.40
  4. Step 4: Simplify right side
    397,602,407.80x = 63,525,607,091,625,800
  5. Step 5: Solve for x
    x = 63,525,607,091,625,800/397,602,407.80
  6. Step 6: Final answer
    x = 159,771,686.10

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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.