Finding the Fourth Proportional to 1,678,575,881,087.60, 2,316,434,697,964.80 and 907,824,572,789.12
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Solution
The fourth proportional to 1,678,575,881,087.60, 2,316,434,697,964.80 and 907,824,572,789.12 is: 1,252,797,900,748.61
Step by Step Solution
- Step 1: Write the proportion equation
1,678,575,881,087.60 : 2,316,434,697,964.80 = 907,824,572,789.12 : x - Step 2: Convert to fraction form
1,678,575,881,087.60/2,316,434,697,964.80 = 907,824,572,789.12/x - Step 3: Cross multiply
1,678,575,881,087.60x = 2,316,434,697,964.80 × 907,824,572,789.12 - Step 4: Simplify right side
1,678,575,881,087.60x = 2,102,916,340,073,788,625,387,520 - Step 5: Solve for x
x = 2,102,916,340,073,788,625,387,520/1,678,575,881,087.60 - Step 6: Final answer
x = 1,252,797,900,748.61
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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.