Finding the Fourth Proportional to 25,779,100,249,828, 35,574,977,369,430 and 14,073,314,753,890
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Solution
The fourth proportional to 25,779,100,249,828, 35,574,977,369,430 and 14,073,314,753,890 is: 19,421,075,562,396.42
Step by Step Solution
- Step 1: Write the proportion equation
25,779,100,249,828 : 35,574,977,369,430 = 14,073,314,753,890 : x - Step 2: Convert to fraction form
25,779,100,249,828/35,574,977,369,430 = 14,073,314,753,890/x - Step 3: Cross multiply
25,779,100,249,828x = 35,574,977,369,430 × 14,073,314,753,890 - Step 4: Simplify right side
25,779,100,249,828x = 500,657,853,882,502,067,706,134,528 - Step 5: Solve for x
x = 500,657,853,882,502,067,706,134,528/25,779,100,249,828 - Step 6: Final answer
x = 19,421,075,562,396.42
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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.