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Finding the Fourth Proportional to 610,416,043.20, 915,624,064.80 and 586,607,486.40

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Solution

The fourth proportional to 610,416,043.20, 915,624,064.80 and 586,607,486.40 is: 879,911,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,043.20 : 915,624,064.80 = 586,607,486.40 : x
  2. Step 2: Convert to fraction form
    610,416,043.20/915,624,064.80 = 586,607,486.40/x
  3. Step 3: Cross multiply
    610,416,043.20x = 915,624,064.80 × 586,607,486.40
  4. Step 4: Simplify right side
    610,416,043.20x = 537,111,931,139,678,656
  5. Step 5: Solve for x
    x = 537,111,931,139,678,656/610,416,043.20
  6. Step 6: Final answer
    x = 879,911,229.60

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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.