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Finding the Fourth Proportional to 473,369,070.40, 710,053,605.60 and 266,744,809.60

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Solution

The fourth proportional to 473,369,070.40, 710,053,605.60 and 266,744,809.60 is: 400,117,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,369,070.40 : 710,053,605.60 = 266,744,809.60 : x
  2. Step 2: Convert to fraction form
    473,369,070.40/710,053,605.60 = 266,744,809.60/x
  3. Step 3: Cross multiply
    473,369,070.40x = 710,053,605.60 × 266,744,809.60
  4. Step 4: Simplify right side
    473,369,070.40x = 189,403,113,831,565,504
  5. Step 5: Solve for x
    x = 189,403,113,831,565,504/473,369,070.40
  6. Step 6: Final answer
    x = 400,117,214.40

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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.