Finding the Fourth Proportional to 411,446,471,522.05, 567,668,032,579.68 and 237,768,338,127.30
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Solution
The fourth proportional to 411,446,471,522.05, 567,668,032,579.68 and 237,768,338,127.30 is: 328,046,280,759.59
Step by Step Solution
- Step 1: Write the proportion equation
411,446,471,522.05 : 567,668,032,579.68 = 237,768,338,127.30 : x - Step 2: Convert to fraction form
411,446,471,522.05/567,668,032,579.68 = 237,768,338,127.30/x - Step 3: Cross multiply
411,446,471,522.05x = 567,668,032,579.68 × 237,768,338,127.30 - Step 4: Simplify right side
411,446,471,522.05x = 134,973,484,714,464,519,389,184 - Step 5: Solve for x
x = 134,973,484,714,464,519,389,184/411,446,471,522.05 - Step 6: Final answer
x = 328,046,280,759.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.