Finding the Fourth Proportional to 1,678,575,881,079.60, 2,316,434,697,953.80 and 907,824,572,781.12
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Solution
The fourth proportional to 1,678,575,881,079.60, 2,316,434,697,953.80 and 907,824,572,781.12 is: 1,252,797,900,737.59
Step by Step Solution
- Step 1: Write the proportion equation
1,678,575,881,079.60 : 2,316,434,697,953.80 = 907,824,572,781.12 : x - Step 2: Convert to fraction form
1,678,575,881,079.60/2,316,434,697,953.80 = 907,824,572,781.12/x - Step 3: Cross multiply
1,678,575,881,079.60x = 2,316,434,697,953.80 × 907,824,572,781.12 - Step 4: Simplify right side
1,678,575,881,079.60x = 2,102,916,340,045,271,116,283,904 - Step 5: Solve for x
x = 2,102,916,340,045,271,116,283,904/1,678,575,881,079.60 - Step 6: Final answer
x = 1,252,797,900,737.59
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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.