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Finding the Fourth Proportional to 298,953,897.60, 448,430,846.40 and 286,039,881.30

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Solution

The fourth proportional to 298,953,897.60, 448,430,846.40 and 286,039,881.30 is: 429,059,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,953,897.60 : 448,430,846.40 = 286,039,881.30 : x
  2. Step 2: Convert to fraction form
    298,953,897.60/448,430,846.40 = 286,039,881.30/x
  3. Step 3: Cross multiply
    298,953,897.60x = 448,430,846.40 × 286,039,881.30
  4. Step 4: Simplify right side
    298,953,897.60x = 128,269,106,075,514,528
  5. Step 5: Solve for x
    x = 128,269,106,075,514,528/298,953,897.60
  6. Step 6: Final answer
    x = 429,059,821.95

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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.