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Finding the Fourth Proportional to 974,835,397.00, 1,462,199,271.76 and 712,788,482.91

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Solution

The fourth proportional to 974,835,397.00, 1,462,199,271.76 and 712,788,482.91 is: 1,069,143,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,835,397.00 : 1,462,199,271.76 = 712,788,482.91 : x
  2. Step 2: Convert to fraction form
    974,835,397.00/1,462,199,271.76 = 712,788,482.91/x
  3. Step 3: Cross multiply
    974,835,397.00x = 1,462,199,271.76 × 712,788,482.91
  4. Step 4: Simplify right side
    974,835,397.00x = 1,042,238,800,636,327,168
  5. Step 5: Solve for x
    x = 1,042,238,800,636,327,168/974,835,397.00
  6. Step 6: Final answer
    x = 1,069,143,369.07

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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.