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Finding the Fourth Proportional to 310,459,095.60, 465,688,643.40 and 295,342,551.60

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Solution

The fourth proportional to 310,459,095.60, 465,688,643.40 and 295,342,551.60 is: 443,013,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,459,095.60 : 465,688,643.40 = 295,342,551.60 : x
  2. Step 2: Convert to fraction form
    310,459,095.60/465,688,643.40 = 295,342,551.60/x
  3. Step 3: Cross multiply
    310,459,095.60x = 465,688,643.40 × 295,342,551.60
  4. Step 4: Simplify right side
    310,459,095.60x = 137,537,672,192,898,496
  5. Step 5: Solve for x
    x = 137,537,672,192,898,496/310,459,095.60
  6. Step 6: Final answer
    x = 443,013,827.40

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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.